6th Grade Math Flashcards: Divide Multi Digit Numbers

What this deck covers

This deck focuses on Divide Multi Digit Numbers, giving you a quick way to review the definitions, rules, and examples that matter most for 6th Grade Math.

How to use these flashcards

Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

Flashcard 1: What is $6{,}529 \div 4$ written as a quotient with remainder?

Answer: $1{,}632\,R^1$. $4$ goes into $65$ sixteen times with $1$ left, into $12$ three times, into $9$ twice.

Flashcard 2: What is $672\div 8$ using the standard algorithm?

Answer: $84$. $8$ goes into $67$ eight times, then into $52$ six times, and into $48$ six times.

Flashcard 3: What is $4{,}095 \div 5$ using the standard algorithm?

Answer: $819$. $5$ goes into $40$ eight times, into $9$ once, into $45$ nine times.

Flashcard 4: Identify the missing quotient digit: In $672 \div 8$, after $67 \div 8 = 8$, what is the next quotient digit?

Answer: $4$. After $8 \times 8 = 64$, subtract to get $3$, bring down $2$ to get $32 \div 8 = 4$.

Flashcard 5: What is $735 \div 7$ using the standard algorithm?

Answer: $105$. $7$ goes into $73$ ten times, into $35$ five times.

Flashcard 6: What is the quotient of $14{,}352 \div 9$ using the standard algorithm?

Answer: $1{,}594\frac{2}{3}$. The remainder $6$ as a fraction over divisor $9$ gives $\frac{6}{9}=\frac{2}{3}$.

Flashcard 7: What is the quotient of $72{,}000 \div 9$ using the standard algorithm?

Answer: $8{,}000$. Since $72000=72×1000$ and $72÷9=8$, the result is $8×1000=8000$.

Flashcard 8: Find the error: A student wrote $438 \div 3 = 14\,R18$. What is the correct result?

Answer: $146$. Remainder $18 > 3$ (divisor), so continue dividing: $438 \div 3 = 146$.

Flashcard 9: What is $6{,}048 \div 12$ using the standard algorithm?

Answer: $504$. $12$ goes into $60$ five times, into $4$ zero times, into $48$ four times.

Flashcard 10: What is $936\div 9$ using the standard algorithm?

Answer: $104$. $9$ goes into $93$ ten times, then into $36$ four times exactly.

Flashcard 11: What check confirms a division answer is correct for $a\div b=q$ with remainder $r$?

Answer: $a=bq+r$ with $0\le r<b$. This equation verifies division: dividend equals divisor times quotient plus remainder.

Flashcard 12: What is the quotient of $9{,}600 \div 12$ using the standard algorithm?

Answer: $800$. Divide: $96÷12=8$, bring down zeros to get $800$.

Flashcard 13: What is the quotient and remainder of $14{,}352 \div 9$ using the standard algorithm?

Answer: $1{,}594\ \text{R}\ 6$. Standard division gives quotient $1594$ with remainder $6$.

Flashcard 14: What is the quotient of $5,544 \div 12$ using the standard algorithm?

Answer: $462$. Divide $5544$ by $12$: $55÷12=4$ R7, $74÷12=6$ R2, $24÷12=2$.

Flashcard 15: What is the quotient and remainder of $9{,}999 \div 8$ using the standard algorithm?

Answer: $1{,}249\ \text{R}\ 7$. Divide $9999$ by $8$: quotient is $1249$ with remainder $7$.

Flashcard 16: What is the quotient of $1{,}365 \div 7$ using the standard algorithm?

Answer: $195$. Divide step by step: $13÷7=1$ R6, $66÷7=9$ R3, $35÷7=5$.

Flashcard 17: What is $5607\div 3$ using the standard algorithm?

Answer: $1869$. $3$ divides evenly: $5607 = 3 imes 1869$.

Flashcard 18: What is $5040\div 7$ using the standard algorithm?

Answer: $720$. $7$ divides evenly: $5040 = 7 imes 720$.

Flashcard 19: What is the quotient of $1{,}248 \div 6$ using the standard algorithm?

Answer: $208$. Work left to right: $12÷6=2$, $4÷6=0$ R4, $48÷6=8$.

Flashcard 20: What is the first step in the standard algorithm for $847 \div 6$?

Answer: Divide the leftmost digits: $8 \div 6$. Start with the leftmost digit(s) that form a number $\geq$ divisor.

Flashcard 21: What is $2184\div 12$ using the standard algorithm?

Answer: $182$. $12$ goes into $21$ once, into $98$ eight times, and into $24$ twice.

Flashcard 22: What is the quotient of $945 \div 5$ using the standard algorithm?

Answer: $189$. Divide systematically: $9÷5=1$ R4, $44÷5=8$ R4, $45÷5=9$.

Flashcard 23: What is $8{,}017 \div 6$ written as a quotient with remainder?

Answer: $1{,}336\,R^1$. $6$ goes into $80$ thirteen times with $2$ left, into $21$ three times, into $37$ six times.

Flashcard 24: What is $3{,}500 \div 40$ using the standard algorithm?

Answer: $87\,R20$. $40$ goes into $350$ eight times with $30$ left, into $300$ seven times.

Flashcard 25: What is $5{,}832 \div 9$ using the standard algorithm?

Answer: $648$. $9$ goes into $58$ six times, into $43$ four times, into $72$ eight times.

Flashcard 26: What is $9{,}072 \div 7$ using the standard algorithm?

Answer: $1{,}296$. $7$ goes into $90$ twelve times, into $67$ nine times, into $42$ six times.

Flashcard 27: What is the quotient of $84{,}600 \div 30$ using the standard algorithm?

Answer: $2{,}820$. Divide $84600$ by $30$: same as $8460÷3=2820$.

Flashcard 28: What does the digit written above the dividend represent in long division?

Answer: A digit of the quotient. Each digit shows how many times the divisor fits into that portion.

Flashcard 29: What is $7{,}410 \div 6$ using the standard algorithm?

Answer: $1{,}235$. $6$ goes into $74$ twelve times, into $21$ three times, into $30$ five times.

Flashcard 30: What is the check method for division using multiplication and subtraction?

Answer: Check: $(\text{divisor}\times\text{quotient})+\text{remainder}=\text{dividend}$. Multiply quotient by divisor, add remainder to verify.

Flashcard 31: What is the quotient of $8{,}736 \div 16$ using the standard algorithm?

Answer: $546$. Divide $8736$ by $16$: $87÷16=5$ R7, $73÷16=4$ R9, $96÷16=6$.

Flashcard 32: What is $1{,}248 \div 6$ using the standard algorithm?

Answer: $208$. $6$ goes into $12$ twice, into $4$ zero times, into $48$ eight times.

Flashcard 33: What is $9{,}600 \div 15$ using the standard algorithm?

Answer: $640$. $15$ goes into $96$ six times, into $60$ four times, into $0$ zero times.

Flashcard 34: What is the quotient of $864 \div 3$ using the standard algorithm?

Answer: $288$. Divide each digit from left to right: $8÷3=2$, $6÷3=2$, $4÷3=1$ with remainder.

Flashcard 35: What is the rule for the remainder when dividing whole numbers?

Answer: Remainder $<$ divisor. The remainder must always be less than what you're dividing by.

Flashcard 36: What is the quotient of $4{,}095 \div 9$ using the standard algorithm?

Answer: $455$. Work through each digit: $40÷9=4$ R4, $49÷9=5$ R4, $45÷9=5$.

Flashcard 37: What is the quotient of $6{,}615 \div 15$ using the standard algorithm?

Answer: $441$. Divide $6615$ by $15$: $66÷15=4$ R6, $61÷15=4$ R1, $15÷15=1$.

Flashcard 38: What is $7392\div 6$ using the standard algorithm?

Answer: $1232$. $6$ divides evenly: $7392 = 6 imes 1232$.

Flashcard 39: What is the quotient of $7{,}488 \div 24$ using the standard algorithm?

Answer: $312$. Divide $7488$ by $24$: $74÷24=3$ R2, $28÷24=1$ R4, $48÷24=2$.

Flashcard 40: What is the quotient of $2{,}304 \div 8$ using the standard algorithm?

Answer: $288$. Each place divides evenly: $23÷8=2$ R7, $70÷8=8$ R6, $64÷8=8$.

Flashcard 41: What is the quotient of $9{,}801 \div 3$ using the standard algorithm?

Answer: $3{,}267$. Divide each digit by $3$: $9÷3=3$, $8÷3=2$ R2, $20÷3=6$ R2, $21÷3=7$.

Flashcard 42: What is $9999\div 9$ using the standard algorithm?

Answer: $1111$. Each digit is $9$, and $9 div 9 = 1$ for each place value.

Flashcard 43: What is $96 \div 3$ using the standard algorithm?

Answer: $32$. $9 \div 3 = 3$, $6 \div 3 = 2$, so $96 \div 3 = 32$.

Flashcard 44: What is the quotient of $3{,}276 \div 4$ using the standard algorithm?

Answer: $819$. Divide step by step: $32÷4=8$, $7÷4=1$ R3, $36÷4=9$.

Flashcard 45: What is $2{,}304 \div 8$ using the standard algorithm?

Answer: $288$. $8$ goes into $23$ twice, into $70$ eight times, into $64$ eight times.

Flashcard 46: What is $1008\div 6$ using the standard algorithm?

Answer: $168$. $6$ divides evenly: $1008 = 6 imes 168$.

Flashcard 47: What is $1440\div 12$ using the standard algorithm?

Answer: $120$. $12$ goes into $14$ once, into $24$ twice, and into $0$ zero times.

Flashcard 48: What is the quotient and remainder of $8{,}019 \div 11$ using the standard algorithm?

Answer: $729\ \text{R}\ 0$. Since $729×11=8019$ exactly, the remainder is $0$.

Flashcard 49: What is the meaning of the remainder in $53 \div 5 = 10\,R^3$?

Answer: The leftover amount: $3$ not evenly divisible by $5$. The remainder is what's left after dividing evenly.

Flashcard 50: What is the quotient and remainder of $3{,}457 \div 6$ using the standard algorithm?

Answer: $576\ \text{R}\ 1$. Divide $3457$ by $6$ to get quotient $576$ with remainder $1$.

Flashcard 51: What is the quotient of $5{,}040 \div 8$ using the standard algorithm?

Answer: $630$. Work through: $50÷8=6$ R2, $24÷8=3$, $40÷8=5$ with no remainder.

Flashcard 52: What is the quotient of $12{,}096 \div 7$ using the standard algorithm?

Answer: $1{,}728$. Divide $12096$ by $7$: work through to get $1728$ with no remainder.

Flashcard 53: What is the quotient of $975 \div 5$ using the standard algorithm?

Answer: $195$. Divide systematically: $9÷5=1$ R4, bring down 7 to get $47÷5=9$ R2, then $25÷5=5$.