We're dividing 87143355 by 633 
We want to divide 87143355 by 633.

Step 1:
The number 633 fits into 8 0 times, leaving a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Grab the next digit (7) from the dividend, add it to 8, then carry on: 87 / 633

Going ahead to step 2:
633 goes into 87 0 times with a remainder of 87.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 87 to get 87.
Grab the next digit (1) from the dividend, add it to 87, then carry on: 871 / 633

Advancing to step 3:
633 goes into 871 1 times with a remainder of 238.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 633 from 871 to get 238.
Include the next digit (4) from the dividend after 238, then repeat: 2384 / 633

Going ahead to step 4:
When dividing 2384 by 633, we get 3 with a remainder of 485.
Write down 3 as next digit of the result. 
Result so far: 13.0
The remainder is 485 after subtracting 1899 from 2384.
Append the next digit (3) from the dividend to 485 and continue with: 4853 / 633

Going ahead to step 5:
4853 divided by 633 is 7 with a remainder of 422.
Use 7 as the next digit of our solution. 
Result so far: 137.0
Deduct 4431 from 4853 and we're left with 422.
Take the next digit (3) from the dividend and append it to 422, then repeat: 4223 / 633

Step 6:
633 can be fit into 4223 6 times, resulting in a remainder of 425.
Use 6 as the next digit of our solution. 
Result so far: 1376.0
Deduct 3798 from 4223 and we're left with 425.
Include the next digit (5) from the dividend after 425, then repeat: 4255 / 633

Step 7:
633 goes into 4255 6 times with a remainder of 457.
Use 6 as the next digit of our solution. 
Result so far: 13766.0
The remainder is 457 after subtracting 3798 from 4255.
Fetch the next digit (5) from the dividend, attach it to 457 and continue: 4575 / 633

On to step 8:
When dividing 4575 by 633, we get 7 with a remainder of 144.
Put 7 as the next digit of the answer. 
Result so far: 137667.0
Subtract 4431 from 4575 to get 144.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1440, and continue the process.

Let's proceed to step 9:
The number 633 fits into 1440 2 times, leaving a remainder of 174.
Record the quotient 2 as the next digit in the result. 
Result so far: 137667.2
Subtracting 1266 from 1440 leaves us with 174.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1740, and continue the process.

Let's proceed to step 10:
If we divide 1740 by 633, we get 2 and a remainder of 474.
Record the quotient 2 as the next digit in the result. 
Result so far: 137667.22
Subtracting 1266 from 1740 leaves us with 474.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4740, and continue the process.

After the division, we end up with 137667.22 and a remainder of 0.474.