To solve the division of 942,765 by 37 step-by-step, follow these calculations:
1. Divide the first part of the dividend:
- Look at the first pair, 94. Determine how many times 37 fits into 94.
- 37 goes into 94 twice (since 37 2 = 74).
2. Calculate the first remainder:
- Subtract 74 from 94, which gives 20.
3. Bring down the next digit:
- Bring down the next digit (2), resulting in 202.
4. Divide again:
- Determine how many times 37 fits into 202.
- Since 37 5 = 185, and 37 6 = 222 (too high), we use 5.
5. Calculate the new remainder:
- Subtract 185 from 202, which gives 17.
6. Bring down the next digit:
- Bring down the next digit (7), resulting in 177.
7. Divide again:
- Determine how many times 37 fits into 177.
- Since 37 4 = 148, and 37 5 = 185 (too high), we use 4.
8. Calculate the new remainder:
- Subtract 148 from 177, which gives 29.
9. Bring down the next digit:
- Bring down the next digit (6), resulting in 296.
10. Divide again:
- Determine how many times 37 fits into 296.
- Since 37 8 = 296, we use 8.
11. Calculate the new remainder:
- Subtract 296 from 296, which gives 0.
12. Bring down the next digit:
- Bring down the final digit (5), resulting in 5.
13. Final division:
- Determine how many times 37 fits into 5.
- 37 does not fit into 5, so use 0 for this last part.
Thus, the quotient is built from our results, which is 25480, and the remainder left is 5. Hence, the division of 942,765 by 37 results in a quotient of 25,480 and a remainder of 5.
