We're dividing 629251 by 87 
We want to figure out the number of times 629251 can be divided by 87.

Going ahead to step 1:
If we divide 6 by 87, we get 0 and a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Fetch the next digit (2) from the dividend, attach it to 6 and continue: 62 / 87

Going ahead to step 2:
If we divide 62 by 87, we get 0 and a remainder of 62.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 62, we end up with 62.
Bring next digit (9) of the dividend behind the 62 and repeat the process: 629 / 87

Going ahead to step 3:
87 goes into 629 7 times with a remainder of 20.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
Subtract 609 from 629 to get 20.
Take the next digit (2) from the dividend and append it to 20, then repeat: 202 / 87

Let's proceed to step 4:
If we divide 202 by 87, we get 2 and a remainder of 28.
The next digit of our result is 2. 
Result so far: 72.0
Deduct 174 from 202 and we're left with 28.
Bring next digit (5) of the dividend behind the 28 and repeat the process: 285 / 87

On to step 5:
When dividing 285 by 87, we get 3 with a remainder of 24.
Put 3 as the next digit of the answer. 
Result so far: 723.0
The remainder is 24 after subtracting 261 from 285.
Take the next digit (1) from the dividend and append it to 24, then repeat: 241 / 87

Moving on to step 6:
87 can be fit into 241 2 times, resulting in a remainder of 67.
Put 2 as the next digit of the answer. 
Result so far: 7232.0
If we subtract 174 from 241, we get 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Moving on to step 7:
If we divide 670 by 87, we get 7 and a remainder of 61.
The next digit of our result is 7. 
Result so far: 7232.7
The remainder is 61 after subtracting 609 from 670.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Step 8:
87 goes into 610 7 times with a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 7232.77
Subtract 609 from 610 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

The final outcome is 7232.77, with a leftover of 0.001.