We look at the division of 629359 by 87 
Our goal is to divide 629359 by 87.

Going ahead to step 1:
When dividing 6 by 87, we get 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Fetch the next digit (2) from the dividend, attach it to 6 and continue: 62 / 87

On to step 2:
If we divide 62 by 87, we get 0 and a remainder of 62.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 62 to get 62.
Take the next digit (9) from the dividend and append it to 62, then repeat: 629 / 87

Let's proceed to step 3:
87 can be fit into 629 7 times, resulting in a remainder of 20.
Put 7 as the next digit of the answer. 
Result so far: 7.0
Deduct 609 from 629 and we're left with 20.
Grab the next digit (3) from the dividend, add it to 20, then carry on: 203 / 87

Advancing to step 4:
87 goes into 203 2 times with a remainder of 29.
The number 2 becomes the next digit in our result. 
Result so far: 72.0
Deduct 174 from 203 and we're left with 29.
Grab the next digit (5) from the dividend, add it to 29, then carry on: 295 / 87

Advancing to step 5:
When dividing 295 by 87, we get 3 with a remainder of 34.
The number 3 becomes the next digit in our result. 
Result so far: 723.0
If we take 261 away from 295, we end up with 34.
Grab the next digit (9) from the dividend, add it to 34, then carry on: 349 / 87

Advancing to step 6:
87 goes into 349 4 times with a remainder of 1.
The number 4 becomes the next digit in our result. 
Result so far: 7234.0
If we take 348 away from 349, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 7:
87 can be fit into 10 0 times, resulting in a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 7234.0
Subtracting 0 from 10 leaves us 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.

Going ahead to step 8:
If we divide 100 by 87, we get 1 and a remainder of 13.
Write down 1 as next digit of the result. 
Result so far: 7234.01
Subtracting 87 from 100 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 9:
If we divide 130 by 87, we get 1 and a remainder of 43.
Put 1 as the next digit of the answer. 
Result so far: 7234.011
If we subtract 87 from 130, we get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

After the division, we end up with 7234.011 and a remainder of 0.0043.