We look at the division of 877563 by 87 
We want to figure out the number of times 877563 can be divided by 87.

On to step 1:
If we divide 8 by 87, we get 0 and a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Grab the next digit (7) from the dividend, add it to 8, then carry on: 87 / 87

Advancing to step 2:
87 divided by 87 is 1 with a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 87 from 87, we get 0.
Grab the next digit (7) from the dividend, add it to 0, then carry on: 7 / 87

Step 3:
The number 87 fits into 7 0 times, leaving a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Subtract 0 from 7 to get 7.
Grab the next digit (5) from the dividend, add it to 7, then carry on: 75 / 87

On to step 4:
75 divided by 87 is 0 with a remainder of 75.
The number 0 becomes the next digit in our result. 
Result so far: 100.0
The remainder is 75 after subtracting 0 from 75.
Include the next digit (6) from the dividend after 75, then repeat: 756 / 87

Let's proceed to step 5:
If we divide 756 by 87, we get 8 and a remainder of 60.
Write down 8 as next digit of the result. 
Result so far: 1008.0
Subtract 696 from 756 to get 60.
Take the next digit (3) from the dividend and append it to 60, then repeat: 603 / 87

Going ahead to step 6:
The number 87 fits into 603 6 times, leaving a remainder of 81.
Record the quotient 6 as the next digit in the result. 
Result so far: 10086.0
Subtract 522 from 603 to get 81.
Since there are no more digits in the dividend, we add a zero to the remainder making it 810, and continue the process.

Advancing to step 7:
810 divided by 87 is 9 with a remainder of 27.
Use 9 as the next digit of our solution. 
Result so far: 10086.9
If we take 783 away from 810, we end up with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Step 8:
87 goes into 270 3 times with a remainder of 9.
The number 3 becomes the next digit in our result. 
Result so far: 10086.93
Subtracting 261 from 270 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 9:
When dividing 90 by 87, we get 1 with a remainder of 3.
The next digit of our result is 1. 
Result so far: 10086.931
If we take 87 away from 90, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 10:
When dividing 30 by 87, we get 0 with a remainder of 30.
The next digit of our result is 0. 
Result so far: 10086.931
Subtracting 0 from 30 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.

Advancing to step 11:
87 goes into 300 3 times with a remainder of 39.
Use 3 as the next digit of our solution. 
Result so far: 10086.93103
The remainder is 39 after subtracting 261 from 300.
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 12:
87 goes into 390 4 times with a remainder of 42.
Put 4 as the next digit of the answer. 
Result so far: 10086.931034
Subtract 348 from 390 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

On to step 13:
The number 87 fits into 420 4 times, leaving a remainder of 72.
Put 4 as the next digit of the answer. 
Result so far: 10086.9310344
Deduct 348 from 420 and we're left with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

In conclusion, the division gives 10086.9310344 with a balance of 7.2e-07.