Let's divide 9636 by 87
Let's see how many times 87 fits into 9636.

Advancing to step 1:
9 divided by 87 is 0 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 (6) from the dividend, attach it to 9 and continue: 96 / 87

Step 2:
87 can be fit into 96 1 times, resulting in a remainder of 9.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 87 from 96 leaves us with 9.
Bring next digit (3) of the dividend behind the 9 and repeat the process: 93 / 87

Advancing to step 3:
When dividing 93 by 87, we get 1 with a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 11.0
The remainder is 6 after subtracting 87 from 93.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 87

On to step 4:
66 divided by 87 is 0 with a remainder of 66.
Use 0 as the next digit of our solution. 
Result so far: 110.0
If we take 0 away from 66, we end up with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Moving on to step 5:
87 goes into 660 7 times with a remainder of 51.
Record the quotient 7 as the next digit in the result. 
Result so far: 110.7
Subtract 609 from 660 to get 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Step 6:
When dividing 510 by 87, we get 5 with a remainder of 75.
Put 5 as the next digit of the answer. 
Result so far: 110.75
Deduct 435 from 510 and we're left with 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

On to step 7:
The number 87 fits into 750 8 times, leaving a remainder of 54.
The next digit of our result is 8. 
Result so far: 110.758
The remainder is 54 after subtracting 696 from 750.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Let's proceed to step 8:
The number 87 fits into 540 6 times, leaving a remainder of 18.
The number 6 becomes the next digit in our result. 
Result so far: 110.7586
If we take 522 away from 540, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 9:
87 can be fit into 180 2 times, resulting in a remainder of 6.
Record the quotient 2 as the next digit in the result. 
Result so far: 110.75862
Subtract 174 from 180 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 10:
60 divided by 87 is 0 with a remainder of 60.
Put 0 as the next digit of the answer. 
Result so far: 110.75862
Subtracting 0 from 60 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 11:
600 divided by 87 is 6 with a remainder of 78.
Write down 6 as next digit of the result. 
Result so far: 110.7586206
If we subtract 522 from 600, we get 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Going ahead to step 12:
The number 87 fits into 780 8 times, leaving a remainder of 84.
Write down 8 as next digit of the result. 
Result so far: 110.75862068
If we subtract 696 from 780, we get 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

The quotient of the division is 110.75862068, and the remainder is 8.4e-08.