8631633 divided by 870 
Let's see how many times 870 fits into 8631633.

On to step 1:
If we divide 8 by 870, we get 0 and a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Bring next digit (6) of the dividend behind the 8 and repeat the process: 86 / 870

Going ahead to step 2:
When dividing 86 by 870, we get 0 with a remainder of 86.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 86 after subtracting 0 from 86.
Take the next digit (3) from the dividend and append it to 86, then repeat: 863 / 870

Let's proceed to step 3:
863 divided by 870 is 0 with a remainder of 863.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 863 to get 863.
Bring next digit (1) of the dividend behind the 863 and repeat the process: 8631 / 870

On to step 4:
When dividing 8631 by 870, we get 9 with a remainder of 801.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
Subtracting 7830 from 8631 leaves us with 801.
Bring next digit (6) of the dividend behind the 801 and repeat the process: 8016 / 870

Let's proceed to step 5:
If we divide 8016 by 870, we get 9 and a remainder of 186.
The number 9 becomes the next digit in our result. 
Result so far: 99.0
Subtract 7830 from 8016 to get 186.
Append the next digit (3) from the dividend to 186 and continue with: 1863 / 870

Step 6:
If we divide 1863 by 870, we get 2 and a remainder of 123.
The number 2 becomes the next digit in our result. 
Result so far: 992.0
If we subtract 1740 from 1863, we get 123.
Grab the next digit (3) from the dividend, add it to 123, then carry on: 1233 / 870

On to step 7:
870 can be fit into 1233 1 times, resulting in a remainder of 363.
Record the quotient 1 as the next digit in the result. 
Result so far: 9921.0
The remainder is 363 after subtracting 870 from 1233.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3630, and continue the process.

Going ahead to step 8:
3630 divided by 870 is 4 with a remainder of 150.
The number 4 becomes the next digit in our result. 
Result so far: 9921.4
If we take 3480 away from 3630, we end up with 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1500, and continue the process.

Advancing to step 9:
The number 870 fits into 1500 1 times, leaving a remainder of 630.
Record the quotient 1 as the next digit in the result. 
Result so far: 9921.41
Deduct 870 from 1500 and we're left with 630.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6300, and continue the process.

Moving on to step 10:
870 goes into 6300 7 times with a remainder of 210.
The number 7 becomes the next digit in our result. 
Result so far: 9921.417
Subtracting 6090 from 6300 leaves us with 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2100, and continue the process.

On to step 11:
870 goes into 2100 2 times with a remainder of 360.
Write down 2 as next digit of the result. 
Result so far: 9921.4172
Subtract 1740 from 2100 to get 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3600, and continue the process.

Going ahead to step 12:
870 goes into 3600 4 times with a remainder of 120.
Write down 4 as next digit of the result. 
Result so far: 9921.41724
Deduct 3480 from 3600 and we're left with 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1200, and continue the process.

On to step 13:
When dividing 1200 by 870, we get 1 with a remainder of 330.
Put 1 as the next digit of the answer. 
Result so far: 9921.417241
Deduct 870 from 1200 and we're left with 330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3300, and continue the process.

Moving on to step 14:
3300 divided by 870 is 3 with a remainder of 690.
Write down 3 as next digit of the result. 
Result so far: 9921.4172413
Subtract 2610 from 3300 to get 690.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6900, and continue the process.

Advancing to step 15:
When dividing 6900 by 870, we get 7 with a remainder of 810.
Use 7 as the next digit of our solution. 
Result so far: 9921.41724137
If we subtract 6090 from 6900, we get 810.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8100, and continue the process.

The final outcome is 9921.41724137, with a leftover of 8.1e-07.