871689 ÷ 63 
We're looking to find how many times 63 goes into 871689.

Going ahead to step 1:
63 goes into 8 0 times with a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Grab the next digit (7) from the dividend, add it to 8, then carry on: 87 / 63

Moving on to step 2:
63 goes into 87 1 times with a remainder of 24.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 63 from 87, we get 24.
Bring next digit (1) of the dividend behind the 24 and repeat the process: 241 / 63

Going ahead to step 3:
241 divided by 63 is 3 with a remainder of 52.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
Subtract 189 from 241 to get 52.
Bring next digit (6) of the dividend behind the 52 and repeat the process: 526 / 63

Let's proceed to step 4:
63 can be fit into 526 8 times, resulting in a remainder of 22.
The number 8 becomes the next digit in our result. 
Result so far: 138.0
If we take 504 away from 526, we end up with 22.
Take the next digit (8) from the dividend and append it to 22, then repeat: 228 / 63

Step 5:
If we divide 228 by 63, we get 3 and a remainder of 39.
Put 3 as the next digit of the answer. 
Result so far: 1383.0
Subtracting 189 from 228 leaves us with 39.
Append the next digit (9) from the dividend to 39 and continue with: 399 / 63

Step 6:
63 can be fit into 399 6 times, resulting in a remainder of 21.
The number 6 becomes the next digit in our result. 
Result so far: 13836.0
Subtracting 378 from 399 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Moving on to step 7:
If we divide 210 by 63, we get 3 and a remainder of 21.
Put 3 as the next digit of the answer. 
Result so far: 13836.3
The remainder is 21 after subtracting 189 from 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 8:
The number 63 fits into 210 3 times, leaving a remainder of 21.
Record the quotient 3 as the next digit in the result. 
Result so far: 13836.33
If we subtract 189 from 210, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

The final result is 13836.33 with a remainder of 0.021.