Math worksheet for dividing 3-digit numbers by 2-digit numbers without remainders.
Worksheet titled "Divide 3-Digit Numbers by 2-Digit Numbers without Remainder" with division problems and a space for a name, featuring a smiley face and stars.
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Step-by-step solution for: Divide 3-Digit Numbers by 2-Digit Numbers without Remainder ...
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Show Answer Key & Explanations
Step-by-step solution for: Divide 3-Digit Numbers by 2-Digit Numbers without Remainder ...
To solve these division problems, we need to find how many times the second number (the divisor) fits into the first number (the dividend) exactly.
Let's go through them one by one:
1. 184 ÷ 92:
* Try multiplying 92 by 2.
* $90 \times 2 = 180$ and $2 \times 2 = 4$.
* $180 + 4 = 184$.
* So, $184 \div 92 = 2$.
2. 912 ÷ 76:
* Let's estimate. $76 \times 10 = 760$. We need more.
* $912 - 760 = 152$.
* Does 76 go into 152? Yes, $76 \times 2 = 152$.
* So, $10 + 2 = 12$.
* $912 \div 76 = 12$.
3. 448 ÷ 56:
* Let's try multiplying 56 by numbers ending in 2 or 8 (since $6 \times 8 = 48$).
* Try 8: $50 \times 8 = 400$, $6 \times 8 = 48$.
* $400 + 48 = 448$.
* So, $448 \div 56 = 8$.
4. 868 ÷ 31:
* Estimate: $30 \times 30 = 900$, which is close to 868.
* Try 28: $31 \times 20 = 620$.
* $868 - 620 = 248$.
* $31 \times 8 = 248$ ($30 \times 8 = 240$, $1 \times 8 = 8$).
* So, $20 + 8 = 28$.
* $868 \div 31 = 28$.
5. 553 ÷ 79:
* Estimate: 79 is close to 80. $553$ is close to $560$.
* $560 \div 80 = 7$.
* Check: $79 \times 7$.
* $70 \times 7 = 490$, $9 \times 7 = 63$.
* $490 + 63 = 553$.
* So, $553 \div 79 = 7$.
6. 900 ÷ 50:
* Cancel the zeros: $90 \div 5$.
* $5 \times 10 = 50$, $5 \times 8 = 40$.
* $10 + 8 = 18$.
* So, $900 \div 50 = 18$.
7. 672 ÷ 28:
* Estimate: $28 \times 20 = 560$.
* $672 - 560 = 112$.
* Does 28 go into 112? Try 4. $28 \times 4 = 112$ ($25 \times 4 = 100$, $3 \times 4 = 12$).
* So, $20 + 4 = 24$.
* $672 \div 28 = 24$.
8. 340 ÷ 20:
* Cancel the zeros: $34 \div 2$.
* $34 \div 2 = 17$.
* So, $340 \div 20 = 17$.
9. 976 ÷ 61:
* Estimate: $61 \times 10 = 610$.
* $976 - 610 = 366$.
* Does 61 go into 366? Try 6. $60 \times 6 = 360$, $1 \times 6 = 6$.
* $360 + 6 = 366$.
* So, $10 + 6 = 16$.
* $976 \div 61 = 16$.
10. 612 ÷ 18:
* Estimate: $18 \times 30 = 540$.
* $612 - 540 = 72$.
* Does 18 go into 72? Yes, $18 \times 4 = 72$.
* So, $30 + 4 = 34$.
* $612 \div 18 = 34$.
11. 236 ÷ 59:
* Estimate: 59 is close to 60. 236 is close to 240.
* $240 \div 60 = 4$.
* Check: $59 \times 4$.
* $50 \times 4 = 200$, $9 \times 4 = 36$.
* $200 + 36 = 236$.
* So, $236 \div 59 = 4$.
12. 370 ÷ 74:
* Estimate: $74 \times 5$.
* $70 \times 5 = 350$, $4 \times 5 = 20$.
* $350 + 20 = 370$.
* So, $370 \div 74 = 5$.
13. 603 ÷ 67:
* Estimate: $67 \times 10 = 670$ (too high). Try 9.
* $67 \times 9$.
* $60 \times 9 = 540$, $7 \times 9 = 63$.
* $540 + 63 = 603$.
* So, $603 \div 67 = 9$.
14. 168 ÷ 24:
* Estimate: $24 \times 5 = 120$.
* $168 - 120 = 48$.
* $24 \times 2 = 48$.
* So, $5 + 2 = 7$.
* $168 \div 24 = 7$.
15. 336 ÷ 48:
* Estimate: $48 \times 5 = 240$, $48 \times 10 = 480$.
* Try 7. $48 \times 7$.
* $40 \times 7 = 280$, $8 \times 7 = 56$.
* $280 + 56 = 336$.
* So, $336 \div 48 = 7$.
16. 576 ÷ 72:
* Estimate: $72 \times 10 = 720$ (too high). Try 8.
* $72 \times 8$.
* $70 \times 8 = 560$, $2 \times 8 = 16$.
* $560 + 16 = 576$.
* So, $576 \div 72 = 8$.
Final Answer:
184 ÷ 92 = 2
912 ÷ 76 = 12
448 ÷ 56 = 8
868 ÷ 31 = 28
553 ÷ 79 = 7
900 ÷ 50 = 18
672 ÷ 28 = 24
340 ÷ 20 = 17
976 ÷ 61 = 16
612 ÷ 18 = 34
236 ÷ 59 = 4
370 ÷ 74 = 5
603 ÷ 67 = 9
168 ÷ 24 = 7
336 ÷ 48 = 7
576 ÷ 72 = 8
Let's go through them one by one:
1. 184 ÷ 92:
* Try multiplying 92 by 2.
* $90 \times 2 = 180$ and $2 \times 2 = 4$.
* $180 + 4 = 184$.
* So, $184 \div 92 = 2$.
2. 912 ÷ 76:
* Let's estimate. $76 \times 10 = 760$. We need more.
* $912 - 760 = 152$.
* Does 76 go into 152? Yes, $76 \times 2 = 152$.
* So, $10 + 2 = 12$.
* $912 \div 76 = 12$.
3. 448 ÷ 56:
* Let's try multiplying 56 by numbers ending in 2 or 8 (since $6 \times 8 = 48$).
* Try 8: $50 \times 8 = 400$, $6 \times 8 = 48$.
* $400 + 48 = 448$.
* So, $448 \div 56 = 8$.
4. 868 ÷ 31:
* Estimate: $30 \times 30 = 900$, which is close to 868.
* Try 28: $31 \times 20 = 620$.
* $868 - 620 = 248$.
* $31 \times 8 = 248$ ($30 \times 8 = 240$, $1 \times 8 = 8$).
* So, $20 + 8 = 28$.
* $868 \div 31 = 28$.
5. 553 ÷ 79:
* Estimate: 79 is close to 80. $553$ is close to $560$.
* $560 \div 80 = 7$.
* Check: $79 \times 7$.
* $70 \times 7 = 490$, $9 \times 7 = 63$.
* $490 + 63 = 553$.
* So, $553 \div 79 = 7$.
6. 900 ÷ 50:
* Cancel the zeros: $90 \div 5$.
* $5 \times 10 = 50$, $5 \times 8 = 40$.
* $10 + 8 = 18$.
* So, $900 \div 50 = 18$.
7. 672 ÷ 28:
* Estimate: $28 \times 20 = 560$.
* $672 - 560 = 112$.
* Does 28 go into 112? Try 4. $28 \times 4 = 112$ ($25 \times 4 = 100$, $3 \times 4 = 12$).
* So, $20 + 4 = 24$.
* $672 \div 28 = 24$.
8. 340 ÷ 20:
* Cancel the zeros: $34 \div 2$.
* $34 \div 2 = 17$.
* So, $340 \div 20 = 17$.
9. 976 ÷ 61:
* Estimate: $61 \times 10 = 610$.
* $976 - 610 = 366$.
* Does 61 go into 366? Try 6. $60 \times 6 = 360$, $1 \times 6 = 6$.
* $360 + 6 = 366$.
* So, $10 + 6 = 16$.
* $976 \div 61 = 16$.
10. 612 ÷ 18:
* Estimate: $18 \times 30 = 540$.
* $612 - 540 = 72$.
* Does 18 go into 72? Yes, $18 \times 4 = 72$.
* So, $30 + 4 = 34$.
* $612 \div 18 = 34$.
11. 236 ÷ 59:
* Estimate: 59 is close to 60. 236 is close to 240.
* $240 \div 60 = 4$.
* Check: $59 \times 4$.
* $50 \times 4 = 200$, $9 \times 4 = 36$.
* $200 + 36 = 236$.
* So, $236 \div 59 = 4$.
12. 370 ÷ 74:
* Estimate: $74 \times 5$.
* $70 \times 5 = 350$, $4 \times 5 = 20$.
* $350 + 20 = 370$.
* So, $370 \div 74 = 5$.
13. 603 ÷ 67:
* Estimate: $67 \times 10 = 670$ (too high). Try 9.
* $67 \times 9$.
* $60 \times 9 = 540$, $7 \times 9 = 63$.
* $540 + 63 = 603$.
* So, $603 \div 67 = 9$.
14. 168 ÷ 24:
* Estimate: $24 \times 5 = 120$.
* $168 - 120 = 48$.
* $24 \times 2 = 48$.
* So, $5 + 2 = 7$.
* $168 \div 24 = 7$.
15. 336 ÷ 48:
* Estimate: $48 \times 5 = 240$, $48 \times 10 = 480$.
* Try 7. $48 \times 7$.
* $40 \times 7 = 280$, $8 \times 7 = 56$.
* $280 + 56 = 336$.
* So, $336 \div 48 = 7$.
16. 576 ÷ 72:
* Estimate: $72 \times 10 = 720$ (too high). Try 8.
* $72 \times 8$.
* $70 \times 8 = 560$, $2 \times 8 = 16$.
* $560 + 16 = 576$.
* So, $576 \div 72 = 8$.
Final Answer:
184 ÷ 92 = 2
912 ÷ 76 = 12
448 ÷ 56 = 8
868 ÷ 31 = 28
553 ÷ 79 = 7
900 ÷ 50 = 18
672 ÷ 28 = 24
340 ÷ 20 = 17
976 ÷ 61 = 16
612 ÷ 18 = 34
236 ÷ 59 = 4
370 ÷ 74 = 5
603 ÷ 67 = 9
168 ÷ 24 = 7
336 ÷ 48 = 7
576 ÷ 72 = 8
Parent Tip: Review the logic above to help your child master the concept of division by 3 worksheet.
