We look at the division of 95965284 by 971 
We want to figure out the number of times 95965284 can be divided by 971.

Step 1:
971 goes into 9 0 times with a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 9 leaves us with 9.
Fetch the next digit (5) from the dividend, attach it to 9 and continue: 95 / 971

Advancing to step 2:
The number 971 fits into 95 0 times, leaving a remainder of 95.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 95 and we're left with 95.
Append the next digit (9) from the dividend to 95 and continue with: 959 / 971

Moving on to step 3:
971 goes into 959 0 times with a remainder of 959.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 959 and we're left with 959.
Append the next digit (6) from the dividend to 959 and continue with: 9596 / 971

Advancing to step 4:
9596 divided by 971 is 9 with a remainder of 857.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
The remainder is 857 after subtracting 8739 from 9596.
Bring next digit (5) of the dividend behind the 857 and repeat the process: 8575 / 971

Going ahead to step 5:
971 goes into 8575 8 times with a remainder of 807.
The next digit of our result is 8. 
Result so far: 98.0
If we take 7768 away from 8575, we end up with 807.
Append the next digit (2) from the dividend to 807 and continue with: 8072 / 971

Advancing to step 6:
The number 971 fits into 8072 8 times, leaving a remainder of 304.
The next digit of our result is 8. 
Result so far: 988.0
The remainder is 304 after subtracting 7768 from 8072.
Include the next digit (8) from the dividend after 304, then repeat: 3048 / 971

Going ahead to step 7:
When dividing 3048 by 971, we get 3 with a remainder of 135.
The next digit of our result is 3. 
Result so far: 9883.0
If we subtract 2913 from 3048, we get 135.
Include the next digit (4) from the dividend after 135, then repeat: 1354 / 971

Let's proceed to step 8:
971 can be fit into 1354 1 times, resulting in a remainder of 383.
The number 1 becomes the next digit in our result. 
Result so far: 98831.0
If we subtract 971 from 1354, we get 383.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3830, and continue the process.

Advancing to step 9:
3830 divided by 971 is 3 with a remainder of 917.
Use 3 as the next digit of our solution. 
Result so far: 98831.3
Subtracting 2913 from 3830 leaves us with 917.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9170, and continue the process.

Moving on to step 10:
The number 971 fits into 9170 9 times, leaving a remainder of 431.
The next digit of our result is 9. 
Result so far: 98831.39
The remainder is 431 after subtracting 8739 from 9170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4310, and continue the process.

Moving on to step 11:
The number 971 fits into 4310 4 times, leaving a remainder of 426.
Record the quotient 4 as the next digit in the result. 
Result so far: 98831.394
If we take 3884 away from 4310, we end up with 426.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4260, and continue the process.

Moving on to step 12:
When dividing 4260 by 971, we get 4 with a remainder of 376.
Use 4 as the next digit of our solution. 
Result so far: 98831.3944
Subtracting 3884 from 4260 leaves us with 376.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3760, and continue the process.

The final result is 98831.3944 with a remainder of 0.00376.