Answer :
Sure! Let's solve the division problems step-by-step.
### Division Problem 1: [tex]\(411550 \div 50\)[/tex]
1. Estimate how many times 50 goes into the leading digits of 411550:
- Take the first couple of digits of 411550, which are 411.
- 50 fits into 411 about 8 times, since [tex]\(50 \times 8 = 400\)[/tex].
2. Multiply and subtract:
- Multiply 50 by 8 to get 400.
- Subtract 400 from 411 to get 11.
3. Bring down the next digit:
- Bring down the next digit from 411550, which is 5, making it 115.
- 50 fits into 115 twice, so [tex]\(50 \times 2 = 100\)[/tex].
4. Subtract again:
- Subtract 100 from 115 to get 15.
5. Bring down the next digit:
- Bring down the next digit, another 5, to make 155.
- 50 fits into 155 three times, since [tex]\(50 \times 3 = 150\)[/tex].
6. Subtract:
- Subtract 150 from 155 to get 5.
7. Bring down the final digit:
- Bring down the last digit, 0, making it 50.
- 50 goes into 50 exactly once.
8. Subtract to conclude:
- Subtract 50 from 50 to get 0.
- The quotient is 8231 and the remainder is 0.
### Division Problem 2: [tex]\(143344 \div 62\)[/tex]
1. Estimate how many times 62 goes into the leading digits of 143344:
- Take the first couple of digits of 143344, which are 143.
- 62 goes into 143 about 2 times, since [tex]\(62 \times 2 = 124\)[/tex].
2. Multiply and subtract:
- Multiply 62 by 2 to get 124.
- Subtract 124 from 143 to get 19.
3. Bring down the next digit:
- Bring down the next digit from 143344, which is 3, making it 193.
- 62 fits into 193 three times, since [tex]\(62 \times 3 = 186\)[/tex].
4. Subtract again:
- Subtract 186 from 193 to get 7.
5. Bring down the next digit:
- Bring down the next digit, which is 4, making it 74.
- 62 goes into 74 once, since [tex]\(62 \times 1 = 62\)[/tex].
6. Subtract:
- Subtract 62 from 74 to get 12.
7. Bring down the final digit:
- Bring down the last digit, 4, making it 124.
- 62 fits into 124 twice, since [tex]\(62 \times 2 = 124\)[/tex].
8. Subtract to conclude:
- Subtract 124 from 124 to get 0.
- The quotient is 2312 and the remainder is 0.
### Final Result
- The quotient for the first division [tex]\(411550 \div 50\)[/tex] is 8231 with a remainder of 0.
- The quotient for the second division [tex]\(143344 \div 62\)[/tex] is 2312 with a remainder of 0.
I hope this helps you understand the process of long division step-by-step!
### Division Problem 1: [tex]\(411550 \div 50\)[/tex]
1. Estimate how many times 50 goes into the leading digits of 411550:
- Take the first couple of digits of 411550, which are 411.
- 50 fits into 411 about 8 times, since [tex]\(50 \times 8 = 400\)[/tex].
2. Multiply and subtract:
- Multiply 50 by 8 to get 400.
- Subtract 400 from 411 to get 11.
3. Bring down the next digit:
- Bring down the next digit from 411550, which is 5, making it 115.
- 50 fits into 115 twice, so [tex]\(50 \times 2 = 100\)[/tex].
4. Subtract again:
- Subtract 100 from 115 to get 15.
5. Bring down the next digit:
- Bring down the next digit, another 5, to make 155.
- 50 fits into 155 three times, since [tex]\(50 \times 3 = 150\)[/tex].
6. Subtract:
- Subtract 150 from 155 to get 5.
7. Bring down the final digit:
- Bring down the last digit, 0, making it 50.
- 50 goes into 50 exactly once.
8. Subtract to conclude:
- Subtract 50 from 50 to get 0.
- The quotient is 8231 and the remainder is 0.
### Division Problem 2: [tex]\(143344 \div 62\)[/tex]
1. Estimate how many times 62 goes into the leading digits of 143344:
- Take the first couple of digits of 143344, which are 143.
- 62 goes into 143 about 2 times, since [tex]\(62 \times 2 = 124\)[/tex].
2. Multiply and subtract:
- Multiply 62 by 2 to get 124.
- Subtract 124 from 143 to get 19.
3. Bring down the next digit:
- Bring down the next digit from 143344, which is 3, making it 193.
- 62 fits into 193 three times, since [tex]\(62 \times 3 = 186\)[/tex].
4. Subtract again:
- Subtract 186 from 193 to get 7.
5. Bring down the next digit:
- Bring down the next digit, which is 4, making it 74.
- 62 goes into 74 once, since [tex]\(62 \times 1 = 62\)[/tex].
6. Subtract:
- Subtract 62 from 74 to get 12.
7. Bring down the final digit:
- Bring down the last digit, 4, making it 124.
- 62 fits into 124 twice, since [tex]\(62 \times 2 = 124\)[/tex].
8. Subtract to conclude:
- Subtract 124 from 124 to get 0.
- The quotient is 2312 and the remainder is 0.
### Final Result
- The quotient for the first division [tex]\(411550 \div 50\)[/tex] is 8231 with a remainder of 0.
- The quotient for the second division [tex]\(143344 \div 62\)[/tex] is 2312 with a remainder of 0.
I hope this helps you understand the process of long division step-by-step!
