Here are the step-by-step solutions for each long division problem. I have calculated the quotient and the remainder for every equation.
1) $4844 \div 861$
* Estimate: $800 \times 6 = 4800$. Let's try 6.
* Multiply: $861 \times 6 = 5166$ (Too high).
* Try 5: $861 \times 5 = 4305$.
* Subtract: $4844 - 4305 = 539$.
*
Answer: 5 R 539
2) $5860 \div 161$
* First part: $586 \div 161$. Estimate $160 \times 3 = 480$.
* Multiply: $161 \times 3 = 483$.
* Subtract: $586 - 483 = 103$. Bring down the 0 to make 1030.
* Second part: $1030 \div 161$. Estimate $160 \times 6 = 960$.
* Multiply: $161 \times 6 = 966$.
* Subtract: $1030 - 966 = 64$.
*
Answer: 36 R 64
3) $2389 \div 984$
* Estimate: $984$ is close to $1000$. $2389$ is close to $2400$. So, try 2.
* Multiply: $984 \times 2 = 1968$.
* Subtract: $2389 - 1968 = 421$.
*
Answer: 2 R 421
4) $4783 \div 796$
* Estimate: $800 \times 6 = 4800$. That is very close to 4783. Let's try 6.
* Multiply: $796 \times 6 = 4776$.
* Subtract: $4783 - 4776 = 7$.
*
Answer: 6 R 7
5) $5741 \div 728$
* Estimate: $700 \times 8 = 5600$. Let's try 8.
* Multiply: $728 \times 8 = 5824$ (Too high).
* Try 7: $728 \times 7 = 5096$.
* Subtract: $5741 - 5096 = 645$.
*
Answer: 7 R 645
6) $8386 \div 557$
* First part: $838 \div 557$. It goes in 1 time.
* Multiply: $557 \times 1 = 557$.
* Subtract: $838 - 557 = 281$. Bring down the 6 to make 2816.
* Second part: $2816 \div 557$. Estimate $550 \times 5 = 2750$.
* Multiply: $557 \times 5 = 2785$.
* Subtract: $2816 - 2785 = 31$.
*
Answer: 15 R 31
7) $2674 \div 331$
* Estimate: $330 \times 8 = 2640$. Let's try 8.
* Multiply: $331 \times 8 = 2648$.
* Subtract: $2674 - 2648 = 26$.
*
Answer: 8 R 26
8) $5826 \div 448$
* First part: $582 \div 448$. It goes in 1 time.
* Multiply: $448 \times 1 = 448$.
* Subtract: $582 - 448 = 134$. Bring down the 6 to make 1346.
* Second part: $1346 \div 448$. Estimate $450 \times 3 = 1350$ (just a little too high). Try 2? No, $450 \times 2 = 900$. Let's check 3 carefully.
* Multiply: $448 \times 3 = 1344$.
* Subtract: $1346 - 1344 = 2$.
*
Answer: 13 R 2
9) $1584 \div 918$
* Estimate: $900 \times 2 = 1800$ (Too high). Try 1.
* Multiply: $918 \times 1 = 918$.
* Subtract: $1584 - 918 = 666$.
*
Answer: 1 R 666
10) $8948 \div 433$
* First part: $894 \div 433$. Estimate $430 \times 2 = 860$.
* Multiply: $433 \times 2 = 866$.
* Subtract: $894 - 866 = 28$. Bring down the 8 to make 288.
* Second part: $288 \div 433$. It goes in 0 times.
* Multiply: $433 \times 0 = 0$.
* Subtract: $288 - 0 = 288$.
*
Answer: 20 R 288
11) $8929 \div 474$
* First part: $892 \div 474$. Estimate $470 \times 2 = 940$ (Too high). Try 1.
* Multiply: $474 \times 1 = 474$.
* Subtract: $892 - 474 = 418$. Bring down the 9 to make 4189.
* Second part: $4189 \div 474$. Estimate $470 \times 9 = 4230$ (Close, maybe too high). Try 8.
* Multiply: $474 \times 8 = 3792$.
* Subtract: $4189 - 3792 = 397$.
*
Answer: 18 R 397
12) $8187 \div 427$
* First part: $818 \div 427$. Estimate $427 \times 2 = 854$ (Too high). Try 1.
* Multiply: $427 \times 1 = 427$.
* Subtract: $818 - 427 = 391$. Bring down the 7 to make 3917.
* Second part: $3917 \div 427$. Estimate $400 \times 9 = 3600$. Let's try 9.
* Multiply: $427 \times 9 = 3843$.
* Subtract: $3917 - 3843 = 74$.
*
Answer: 19 R 74
Final Answer:
1) 5 R 539
2) 36 R 64
3) 2 R 421
4) 6 R 7
5) 7 R 645
6) 15 R 31
7) 8 R 26
8) 13 R 2
9) 1 R 666
10) 20 R 288
11) 18 R 397
12) 19 R 74
Parent Tip: Review the logic above to help your child master the concept of division without remainders worksheet.
