We're dividing 677092 by 59 
We want to divide 677092 by 59.

Let's proceed to step 1:
When dividing 6 by 59, we get 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Append the next digit (7) from the dividend to 6 and continue with: 67 / 59

On to step 2:
59 can be fit into 67 1 times, resulting in a remainder of 8.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 59 from 67 and we're left with 8.
Append the next digit (7) from the dividend to 8 and continue with: 87 / 59

Step 3:
The number 59 fits into 87 1 times, leaving a remainder of 28.
Put 1 as the next digit of the answer. 
Result so far: 11.0
Subtracting 59 from 87 leaves us with 28.
Grab the next digit (0) from the dividend, add it to 28, then carry on: 280 / 59

Going ahead to step 4:
59 goes into 280 4 times with a remainder of 44.
Use 4 as the next digit of our solution. 
Result so far: 114.0
Subtract 236 from 280 to get 44.
Append the next digit (9) from the dividend to 44 and continue with: 449 / 59

Step 5:
59 goes into 449 7 times with a remainder of 36.
The number 7 becomes the next digit in our result. 
Result so far: 1147.0
If we subtract 413 from 449, we get 36.
Fetch the next digit (2) from the dividend, attach it to 36 and continue: 362 / 59

Let's proceed to step 6:
362 divided by 59 is 6 with a remainder of 8.
Write down 6 as next digit of the result. 
Result so far: 11476.0
Deduct 354 from 362 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 7:
59 can be fit into 80 1 times, resulting in a remainder of 21.
The number 1 becomes the next digit in our result. 
Result so far: 11476.1
If we subtract 59 from 80, 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.

Going ahead to step 8:
When dividing 210 by 59, we get 3 with a remainder of 33.
Record the quotient 3 as the next digit in the result. 
Result so far: 11476.13
If we take 177 away from 210, 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.

Let's proceed to step 9:
The number 59 fits into 330 5 times, leaving a remainder of 35.
The number 5 becomes the next digit in our result. 
Result so far: 11476.135
The remainder is 35 after subtracting 295 from 330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 10:
When dividing 350 by 59, we get 5 with a remainder of 55.
Record the quotient 5 as the next digit in the result. 
Result so far: 11476.1355
If we subtract 295 from 350, we 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.

In conclusion, the division gives 11476.1355 with a balance of 0.00055.