Answer :
Sure! Let's perform the division of 497,496 by 38 step-by-step.
1. Set up the long division:
[tex]\( \boxed{38} \longdiv { 497,496 } \)[/tex]
2. Determine how many times 38 fits into the leading digits:
- First digit (4): 38 does not fit into 4, so we move to the next digit.
- First two digits (49): 38 fits into 49 once.
Write 1 above the line over the second digit of 497,496.
3. Subtract and bring down the next digit:
- [tex]\( 49 - 38 = 11 \)[/tex]
- Bring down the next digit (7) to make it 117.
4. Repeat the process with 117:
- 38 fits into 117 three times (38 x 3 = 114).
Write 3 above the line next to the 1.
5. Subtract and bring down the next digit:
- [tex]\( 117 - 114 = 3 \)[/tex]
- Bring down the next digit (4) to make it 34.
6. Repeat the process with 34:
- 38 does not fit into 34, so we write 0 above the line next to the 3.
7. Bring down the next digit:
- Bring down the next digit (9) to make it 349.
8. Repeat the process with 349:
- 38 fits into 349 nine times (38 x 9 = 342).
Write 9 above the line next to the 0.
9. Subtract and bring down the next digit:
- [tex]\( 349 - 342 = 7 \)[/tex]
- Bring down the next digit (6) to make it 76.
10. Repeat the process with 76:
- 38 fits into 76 two times (38 x 2 = 76).
Write 2 above the line next to the 9.
11. Final subtraction:
- [tex]\( 76 - 76 = 0 \)[/tex]
Since there are no more digits to bring down and the remainder is 0, we have reached our final result.
So, the quotient is 13,092 and the remainder is 0.
1. Set up the long division:
[tex]\( \boxed{38} \longdiv { 497,496 } \)[/tex]
2. Determine how many times 38 fits into the leading digits:
- First digit (4): 38 does not fit into 4, so we move to the next digit.
- First two digits (49): 38 fits into 49 once.
Write 1 above the line over the second digit of 497,496.
3. Subtract and bring down the next digit:
- [tex]\( 49 - 38 = 11 \)[/tex]
- Bring down the next digit (7) to make it 117.
4. Repeat the process with 117:
- 38 fits into 117 three times (38 x 3 = 114).
Write 3 above the line next to the 1.
5. Subtract and bring down the next digit:
- [tex]\( 117 - 114 = 3 \)[/tex]
- Bring down the next digit (4) to make it 34.
6. Repeat the process with 34:
- 38 does not fit into 34, so we write 0 above the line next to the 3.
7. Bring down the next digit:
- Bring down the next digit (9) to make it 349.
8. Repeat the process with 349:
- 38 fits into 349 nine times (38 x 9 = 342).
Write 9 above the line next to the 0.
9. Subtract and bring down the next digit:
- [tex]\( 349 - 342 = 7 \)[/tex]
- Bring down the next digit (6) to make it 76.
10. Repeat the process with 76:
- 38 fits into 76 two times (38 x 2 = 76).
Write 2 above the line next to the 9.
11. Final subtraction:
- [tex]\( 76 - 76 = 0 \)[/tex]
Since there are no more digits to bring down and the remainder is 0, we have reached our final result.
So, the quotient is 13,092 and the remainder is 0.
