We look at the division of 95865903 by 971 
We're looking to find how many times 971 goes into 95865903.

Advancing to step 1:
9 divided by 971 is 0 with a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Include the next digit (5) from the dividend after 9, then repeat: 95 / 971

Let's proceed to step 2:
The number 971 fits into 95 0 times, leaving a remainder of 95.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 95 leaves us with 95.
Include the next digit (8) from the dividend after 95, then repeat: 958 / 971

Let's proceed to step 3:
If we divide 958 by 971, we get 0 and a remainder of 958.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 958 to get 958.
Bring next digit (6) of the dividend behind the 958 and repeat the process: 9586 / 971

Going ahead to step 4:
The number 971 fits into 9586 9 times, leaving a remainder of 847.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
The remainder is 847 after subtracting 8739 from 9586.
Grab the next digit (5) from the dividend, add it to 847, then carry on: 8475 / 971

Going ahead to step 5:
The number 971 fits into 8475 8 times, leaving a remainder of 707.
The number 8 becomes the next digit in our result. 
Result so far: 98.0
Subtract 7768 from 8475 to get 707.
Append the next digit (9) from the dividend to 707 and continue with: 7079 / 971

Let's proceed to step 6:
The number 971 fits into 7079 7 times, leaving a remainder of 282.
Record the quotient 7 as the next digit in the result. 
Result so far: 987.0
The remainder is 282 after subtracting 6797 from 7079.
Append the next digit (0) from the dividend to 282 and continue with: 2820 / 971

Step 7:
971 goes into 2820 2 times with a remainder of 878.
Put 2 as the next digit of the answer. 
Result so far: 9872.0
Subtract 1942 from 2820 to get 878.
Bring next digit (3) of the dividend behind the 878 and repeat the process: 8783 / 971

Moving on to step 8:
If we divide 8783 by 971, we get 9 and a remainder of 44.
The next digit of our result is 9. 
Result so far: 98729.0
If we subtract 8739 from 8783, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Going ahead to step 9:
When dividing 440 by 971, we get 0 with a remainder of 440.
Record the quotient 0 as the next digit in the result. 
Result so far: 98729.0
Subtract 0 from 440 to get 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4400, and continue the process.

Moving on to step 10:
When dividing 4400 by 971, we get 4 with a remainder of 516.
Put 4 as the next digit of the answer. 
Result so far: 98729.04
The remainder is 516 after subtracting 3884 from 4400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5160, and continue the process.

Advancing to step 11:
If we divide 5160 by 971, we get 5 and a remainder of 305.
Record the quotient 5 as the next digit in the result. 
Result so far: 98729.045
If we subtract 4855 from 5160, we get 305.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3050, and continue the process.

Going ahead to step 12:
If we divide 3050 by 971, we get 3 and a remainder of 137.
Put 3 as the next digit of the answer. 
Result so far: 98729.0453
If we subtract 2913 from 3050, we get 137.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1370, and continue the process.

Step 13:
If we divide 1370 by 971, we get 1 and a remainder of 399.
The next digit of our result is 1. 
Result so far: 98729.04531
Deduct 971 from 1370 and we're left with 399.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3990, and continue the process.

Going ahead to step 14:
971 can be fit into 3990 4 times, resulting in a remainder of 106.
The next digit of our result is 4. 
Result so far: 98729.045314
Subtract 3884 from 3990 to get 106.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1060, and continue the process.

Let's proceed to step 15:
971 goes into 1060 1 times with a remainder of 89.
The number 1 becomes the next digit in our result. 
Result so far: 98729.0453141
Subtract 971 from 1060 to get 89.
Since there are no more digits in the dividend, we add a zero to the remainder making it 890, and continue the process.

On to step 16:
If we divide 890 by 971, we get 0 and a remainder of 890.
The number 0 becomes the next digit in our result. 
Result so far: 98729.0453141
If we subtract 0 from 890, we get 890.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8900, and continue the process.

In conclusion, the division gives 98729.0453141 with a balance of 8.9e-07.