We're dividing 962638 by 86 
We're looking to find how many times 86 goes into 962638.

Advancing to step 1:
86 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
Deduct 0 from 9 and we're left with 9.
Grab the next digit (6) from the dividend, add it to 9, then carry on: 96 / 86

Going ahead to step 2:
96 divided by 86 is 1 with a remainder of 10.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 86 from 96, we get 10.
Append the next digit (2) from the dividend to 10 and continue with: 102 / 86

Advancing to step 3:
If we divide 102 by 86, we get 1 and a remainder of 16.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
If we subtract 86 from 102, we get 16.
Fetch the next digit (6) from the dividend, attach it to 16 and continue: 166 / 86

Advancing to step 4:
86 can be fit into 166 1 times, resulting in a remainder of 80.
Record the quotient 1 as the next digit in the result. 
Result so far: 111.0
Deduct 86 from 166 and we're left with 80.
Append the next digit (3) from the dividend to 80 and continue with: 803 / 86

Step 5:
If we divide 803 by 86, we get 9 and a remainder of 29.
The next digit of our result is 9. 
Result so far: 1119.0
If we take 774 away from 803, we end up with 29.
Take the next digit (8) from the dividend and append it to 29, then repeat: 298 / 86

Going ahead to step 6:
86 goes into 298 3 times with a remainder of 40.
The next digit of our result is 3. 
Result so far: 11193.0
The remainder is 40 after subtracting 258 from 298.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 7:
The number 86 fits into 400 4 times, leaving a remainder of 56.
The next digit of our result is 4. 
Result so far: 11193.4
If we subtract 344 from 400, we get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Going ahead to step 8:
560 divided by 86 is 6 with a remainder of 44.
Use 6 as the next digit of our solution. 
Result so far: 11193.46
Subtract 516 from 560 to 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.

Advancing to step 9:
The number 86 fits into 440 5 times, leaving a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 11193.465
If we take 430 away from 440, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 10:
The number 86 fits into 100 1 times, leaving a remainder of 14.
The number 1 becomes the next digit in our result. 
Result so far: 11193.4651
If we subtract 86 from 100, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 11:
140 divided by 86 is 1 with a remainder of 54.
The number 1 becomes the next digit in our result. 
Result so far: 11193.46511
Subtracting 86 from 140 leaves us with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

The final result is 11193.46511 with a remainder of 5.4e-05.