We look at the division of 629645 by 87 
We're looking to find how many times 87 goes into 629645.

Let's proceed to step 1:
When dividing 6 by 87, we get 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Grab the next digit (2) from the dividend, add it to 6, then carry on: 62 / 87

Advancing to step 2:
The number 87 fits into 62 0 times, leaving a remainder of 62.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 62, we get 62.
Grab the next digit (9) from the dividend, add it to 62, then carry on: 629 / 87

Going ahead to step 3:
87 goes into 629 7 times with a remainder of 20.
Put 7 as the next digit of the answer. 
Result so far: 7.0
If we take 609 away from 629, we end up with 20.
Take the next digit (6) from the dividend and append it to 20, then repeat: 206 / 87

Moving on to step 4:
87 goes into 206 2 times with a remainder of 32.
The next digit of our result is 2. 
Result so far: 72.0
Subtracting 174 from 206 leaves us with 32.
Append the next digit (4) from the dividend to 32 and continue with: 324 / 87

Let's proceed to step 5:
324 divided by 87 is 3 with a remainder of 63.
Record the quotient 3 as the next digit in the result. 
Result so far: 723.0
If we take 261 away from 324, we end up with 63.
Bring next digit (5) of the dividend behind the 63 and repeat the process: 635 / 87

Advancing to step 6:
When dividing 635 by 87, we get 7 with a remainder of 26.
Put 7 as the next digit of the answer. 
Result so far: 7237.0
If we subtract 609 from 635, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 7:
If we divide 260 by 87, we get 2 and a remainder of 86.
Record the quotient 2 as the next digit in the result. 
Result so far: 7237.2
Subtracting 174 from 260 leaves us with 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Step 8:
When dividing 860 by 87, we get 9 with a remainder of 77.
Put 9 as the next digit of the answer. 
Result so far: 7237.29
If we take 783 away from 860, we end up with 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Moving on to step 9:
When dividing 770 by 87, we get 8 with a remainder of 74.
Record the quotient 8 as the next digit in the result. 
Result so far: 7237.298
The remainder is 74 after subtracting 696 from 770.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Let's proceed to step 10:
740 divided by 87 is 8 with a remainder of 44.
Record the quotient 8 as the next digit in the result. 
Result so far: 7237.2988
Subtracting 696 from 740 leaves us with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

The final result is 7237.2988 with a remainder of 0.00044.