82157825 ÷ 916 
Our goal is to divide 82157825 by 916.

Step 1:
916 can be fit into 8 0 times, resulting in a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Include the next digit (2) from the dividend after 8, then repeat: 82 / 916

Step 2:
916 can be fit into 82 0 times, resulting in a remainder of 82.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 82, we end up with 82.
Take the next digit (1) from the dividend and append it to 82, then repeat: 821 / 916

Moving on to step 3:
When dividing 821 by 916, we get 0 with a remainder of 821.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 821 after subtracting 0 from 821.
Fetch the next digit (5) from the dividend, attach it to 821 and continue: 8215 / 916

Step 4:
916 goes into 8215 8 times with a remainder of 887.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Subtracting 7328 from 8215 leaves us with 887.
Include the next digit (7) from the dividend after 887, then repeat: 8877 / 916

Moving on to step 5:
If we divide 8877 by 916, we get 9 and a remainder of 633.
The next digit of our result is 9. 
Result so far: 89.0
If we take 8244 away from 8877, we end up with 633.
Take the next digit (8) from the dividend and append it to 633, then repeat: 6338 / 916

On to step 6:
6338 divided by 916 is 6 with a remainder of 842.
Record the quotient 6 as the next digit in the result. 
Result so far: 896.0
Subtracting 5496 from 6338 leaves us with 842.
Bring next digit (2) of the dividend behind the 842 and repeat the process: 8422 / 916

Step 7:
8422 divided by 916 is 9 with a remainder of 178.
The next digit of our result is 9. 
Result so far: 8969.0
Deduct 8244 from 8422 and we're left with 178.
Bring next digit (5) of the dividend behind the 178 and repeat the process: 1785 / 916

Moving on to step 8:
When dividing 1785 by 916, we get 1 with a remainder of 869.
Record the quotient 1 as the next digit in the result. 
Result so far: 89691.0
Subtract 916 from 1785 to get 869.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8690, and continue the process.

Advancing to step 9:
The number 916 fits into 8690 9 times, leaving a remainder of 446.
Use 9 as the next digit of our solution. 
Result so far: 89691.9
If we take 8244 away from 8690, we end up with 446.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4460, and continue the process.

Let's proceed to step 10:
916 can be fit into 4460 4 times, resulting in a remainder of 796.
The number 4 becomes the next digit in our result. 
Result so far: 89691.94
The remainder is 796 after subtracting 3664 from 4460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7960, and continue the process.

On to step 11:
When dividing 7960 by 916, we get 8 with a remainder of 632.
The next digit of our result is 8. 
Result so far: 89691.948
If we take 7328 away from 7960, we end up with 632.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6320, and continue the process.

Going ahead to step 12:
If we divide 6320 by 916, we get 6 and a remainder of 824.
The number 6 becomes the next digit in our result. 
Result so far: 89691.9486
If we subtract 5496 from 6320, we get 824.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8240, and continue the process.

Step 13:
The number 916 fits into 8240 8 times, leaving a remainder of 912.
Record the quotient 8 as the next digit in the result. 
Result so far: 89691.94868
Deduct 7328 from 8240 and we're left with 912.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9120, and continue the process.

Step 14:
When dividing 9120 by 916, we get 9 with a remainder of 876.
Use 9 as the next digit of our solution. 
Result so far: 89691.948689
Deduct 8244 from 9120 and we're left with 876.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8760, and continue the process.

Let's proceed to step 15:
916 can be fit into 8760 9 times, resulting in a remainder of 516.
The number 9 becomes the next digit in our result. 
Result so far: 89691.9486899
Deduct 8244 from 8760 and we're left with 516.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5160, and continue the process.

The final result is 89691.9486899 with a remainder of 5.16e-06.