Let's divide 877674 by 59
We're looking to find how many times 59 goes into 877674.

Step 1:
The number 59 fits into 8 0 times, leaving a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Bring next digit (7) of the dividend behind the 8 and repeat the process: 87 / 59

Going ahead to step 2:
59 can be fit into 87 1 times, resulting in a remainder of 28.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 59 away from 87, we end up with 28.
Bring next digit (7) of the dividend behind the 28 and repeat the process: 287 / 59

Going ahead to step 3:
59 goes into 287 4 times with a remainder of 51.
Record the quotient 4 as the next digit in the result. 
Result so far: 14.0
The remainder is 51 after subtracting 236 from 287.
Take the next digit (6) from the dividend and append it to 51, then repeat: 516 / 59

Advancing to step 4:
If we divide 516 by 59, we get 8 and a remainder of 44.
Use 8 as the next digit of our solution. 
Result so far: 148.0
Deduct 472 from 516 and we're left with 44.
Fetch the next digit (7) from the dividend, attach it to 44 and continue: 447 / 59

Going ahead to step 5:
If we divide 447 by 59, we get 7 and a remainder of 34.
Write down 7 as next digit of the result. 
Result so far: 1487.0
Subtract 413 from 447 to get 34.
Bring next digit (4) of the dividend behind the 34 and repeat the process: 344 / 59

Step 6:
344 divided by 59 is 5 with a remainder of 49.
Put 5 as the next digit of the answer. 
Result so far: 14875.0
Deduct 295 from 344 and we're left with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Let's proceed to step 7:
When dividing 490 by 59, we get 8 with a remainder of 18.
Write down 8 as next digit of the result. 
Result so far: 14875.8
The remainder is 18 after subtracting 472 from 490.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 8:
59 can be fit into 180 3 times, resulting in a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 14875.83
Subtracting 177 from 180 leaves us 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.

Step 9:
30 divided by 59 is 0 with a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 14875.83
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.

Moving on to step 10:
If we divide 300 by 59, we get 5 and a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 14875.8305
The remainder is 5 after subtracting 295 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 11:
When dividing 50 by 59, we get 0 with a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 14875.8305
Subtracting 0 from 50 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 12:
The number 59 fits into 500 8 times, leaving a remainder of 28.
Record the quotient 8 as the next digit in the result. 
Result so far: 14875.830508
If we subtract 472 from 500, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 13:
280 divided by 59 is 4 with a remainder of 44.
Use 4 as the next digit of our solution. 
Result so far: 14875.8305084
Subtracting 236 from 280 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.

On to step 14:
59 can be fit into 440 7 times, resulting in a remainder of 27.
The next digit of our result is 7. 
Result so far: 14875.83050847
Subtracting 413 from 440 leaves us 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.

The final outcome is 14875.83050847, with a leftover of 2.7e-08.