676629 divided by 87 
We want to figure out the number of times 676629 can be divided by 87.

Step 1:
6 divided by 87 is 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Append the next digit (7) from the dividend to 6 and continue with: 67 / 87

On to step 2:
When dividing 67 by 87, we get 0 with a remainder of 67.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 67, we end up with 67.
Append the next digit (6) from the dividend to 67 and continue with: 676 / 87

Moving on to step 3:
87 can be fit into 676 7 times, resulting in a remainder of 67.
The next digit of our result is 7. 
Result so far: 7.0
Subtract 609 from 676 to get 67.
Fetch the next digit (6) from the dividend, attach it to 67 and continue: 676 / 87

Advancing to step 4:
676 divided by 87 is 7 with a remainder of 67.
The next digit of our result is 7. 
Result so far: 77.0
If we subtract 609 from 676, we get 67.
Include the next digit (2) from the dividend after 67, then repeat: 672 / 87

Let's proceed to step 5:
When dividing 672 by 87, we get 7 with a remainder of 63.
Write down 7 as next digit of the result. 
Result so far: 777.0
Deduct 609 from 672 and we're left with 63.
Grab the next digit (9) from the dividend, add it to 63, then carry on: 639 / 87

Let's proceed to step 6:
The number 87 fits into 639 7 times, leaving a remainder of 30.
Put 7 as the next digit of the answer. 
Result so far: 7777.0
Subtracting 609 from 639 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 7:
When dividing 300 by 87, we get 3 with a remainder of 39.
Record the quotient 3 as the next digit in the result. 
Result so far: 7777.3
If we take 261 away from 300, we end up with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Going ahead to step 8:
87 can be fit into 390 4 times, resulting in a remainder of 42.
The number 4 becomes the next digit in our result. 
Result so far: 7777.34
Subtracting 348 from 390 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Step 9:
If we divide 420 by 87, we get 4 and a remainder of 72.
The number 4 becomes the next digit in our result. 
Result so far: 7777.344
Subtract 348 from 420 to get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

The final result is 7777.344 with a remainder of 0.0072.