We look at the division of 876891 by 59 
We're looking to find how many times 59 goes into 876891.

On to step 1:
When dividing 8 by 59, we get 0 with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Fetch the next digit (7) from the dividend, attach it to 8 and continue: 87 / 59

Advancing to step 2:
87 divided by 59 is 1 with a remainder of 28.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 28 after subtracting 59 from 87.
Fetch the next digit (6) from the dividend, attach it to 28 and continue: 286 / 59

On to step 3:
286 divided by 59 is 4 with a remainder of 50.
The next digit of our result is 4. 
Result so far: 14.0
Subtracting 236 from 286 leaves us with 50.
Include the next digit (8) from the dividend after 50, then repeat: 508 / 59

Advancing to step 4:
508 divided by 59 is 8 with a remainder of 36.
The number 8 becomes the next digit in our result. 
Result so far: 148.0
Deduct 472 from 508 and we're left with 36.
Include the next digit (9) from the dividend after 36, then repeat: 369 / 59

Going ahead to step 5:
If we divide 369 by 59, we get 6 and a remainder of 15.
Use 6 as the next digit of our solution. 
Result so far: 1486.0
Deduct 354 from 369 and we're left with 15.
Fetch the next digit (1) from the dividend, attach it to 15 and continue: 151 / 59

Going ahead to step 6:
When dividing 151 by 59, we get 2 with a remainder of 33.
The number 2 becomes the next digit in our result. 
Result so far: 14862.0
If we take 118 away from 151, we end up with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Going ahead to step 7:
330 divided by 59 is 5 with a remainder of 35.
Put 5 as the next digit of the answer. 
Result so far: 14862.5
If we take 295 away from 330, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 8:
350 divided by 59 is 5 with a remainder of 55.
Record the quotient 5 as the next digit in the result. 
Result so far: 14862.55
Subtract 295 from 350 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

The final outcome is 14862.55, with a leftover of 0.055.