We look at the division of 968633 by 87 
We want to divide 968633 by 87.

Let's proceed to step 1:
87 can be fit into 9 0 times, resulting in a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 9 leaves us with 9.
Bring next digit (6) of the dividend behind the 9 and repeat the process: 96 / 87

Let's proceed to step 2:
87 can be fit into 96 1 times, resulting in a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 87 from 96 leaves us with 9.
Take the next digit (8) from the dividend and append it to 9, then repeat: 98 / 87

Going ahead to step 3:
98 divided by 87 is 1 with a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
If we take 87 away from 98, we end up with 11.
Append the next digit (6) from the dividend to 11 and continue with: 116 / 87

Going ahead to step 4:
The number 87 fits into 116 1 times, leaving a remainder of 29.
Put 1 as the next digit of the answer. 
Result so far: 111.0
Subtract 87 from 116 to get 29.
Append the next digit (3) from the dividend to 29 and continue with: 293 / 87

Step 5:
When dividing 293 by 87, we get 3 with a remainder of 32.
Write down 3 as next digit of the result. 
Result so far: 1113.0
Subtract 261 from 293 to get 32.
Fetch the next digit (3) from the dividend, attach it to 32 and continue: 323 / 87

Let's proceed to step 6:
323 divided by 87 is 3 with a remainder of 62.
Put 3 as the next digit of the answer. 
Result so far: 11133.0
If we take 261 away from 323, we end up with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Step 7:
If we divide 620 by 87, we get 7 and a remainder of 11.
Write down 7 as next digit of the result. 
Result so far: 11133.7
If we subtract 609 from 620, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 8:
If we divide 110 by 87, we get 1 and a remainder of 23.
Record the quotient 1 as the next digit in the result. 
Result so far: 11133.71
Deduct 87 from 110 and we're left with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Advancing to step 9:
87 can be fit into 230 2 times, resulting in a remainder of 56.
Record the quotient 2 as the next digit in the result. 
Result so far: 11133.712
If we subtract 174 from 230, 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.

Step 10:
87 can be fit into 560 6 times, resulting in a remainder of 38.
Use 6 as the next digit of our solution. 
Result so far: 11133.7126
If we subtract 522 from 560, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 11:
The number 87 fits into 380 4 times, leaving a remainder of 32.
Record the quotient 4 as the next digit in the result. 
Result so far: 11133.71264
Deduct 348 from 380 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 12:
87 goes into 320 3 times with a remainder of 59.
Record the quotient 3 as the next digit in the result. 
Result so far: 11133.712643
Deduct 261 from 320 and we're left with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Advancing to step 13:
The number 87 fits into 590 6 times, leaving a remainder of 68.
Put 6 as the next digit of the answer. 
Result so far: 11133.7126436
Deduct 522 from 590 and we're left with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Let's proceed to step 14:
If we divide 680 by 87, we get 7 and a remainder of 71.
Use 7 as the next digit of our solution. 
Result so far: 11133.71264367
If we subtract 609 from 680, we get 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Our division results in 11133.71264367 with a remaining 7.1e-08.