To divide the number 87,653,2 by 98, we can follow these steps:
1. Determine how many times 98 fits into the leading digits:
- 98 does not fit into the first two digits, 87.
- 98 fits into 876 about 8 times (since [tex]\( 8 \times 98 = 784 \)[/tex], which is less than 876).
2. Subtract the product from the leading value and bring down the next digit:
- Subtract 784 from 876, resulting in 92.
- Bring down the next digit, 5, to make it 925.
3. Determine how many times 98 fits into 925:
- It fits 9 times (since [tex]\( 9 \times 98 = 882 \)[/tex], which is less than 925).
4. Subtract the product from the current value and bring down the next digit:
- Subtract 882 from 925, resulting in 43.
- Bring down the next digit, 3, to make it 433.
5. Determine how many times 98 fits into 433:
- It fits 4 times (since [tex]\( 4 \times 98 = 392 \)[/tex], which is less than 433).
6. Subtract the product from the current value and bring down the next digit:
- Subtract 392 from 433, resulting in 41.
- Bring down the next digit, 2, to make it 412.
7. Determine how many times 98 fits into 412:
- It fits 4 times (since [tex]\( 4 \times 98 = 392 \)[/tex], which is less than 412).
8. Subtract the product from the current value:
- Subtract 392 from 412, resulting in 20.
Thus, the quotient is the concatenation of all the multipliers we obtained in each division step, which is 1007810, and the remainder is what's left at the final step, which is 52.
So, the final result of dividing 87,653,2 by 98 is:
[tex]\[ 1007810 \text{ remainder } 52 \][/tex]
