We're dividing 7177747 by 659 
We want to divide 7177747 by 659.

On to step 1:
659 goes into 7 0 times with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Take the next digit (1) from the dividend and append it to 7, then repeat: 71 / 659

Advancing to step 2:
71 divided by 659 is 0 with a remainder of 71.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 71 after subtracting 0 from 71.
Bring next digit (7) of the dividend behind the 71 and repeat the process: 717 / 659

Going ahead to step 3:
659 can be fit into 717 1 times, resulting in a remainder of 58.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 659 from 717, we get 58.
Include the next digit (7) from the dividend after 58, then repeat: 587 / 659

Moving on to step 4:
When dividing 587 by 659, we get 0 with a remainder of 587.
Put 0 as the next digit of the answer. 
Result so far: 10.0
The remainder is 587 after subtracting 0 from 587.
Fetch the next digit (7) from the dividend, attach it to 587 and continue: 5877 / 659

Moving on to step 5:
5877 divided by 659 is 8 with a remainder of 605.
Put 8 as the next digit of the answer. 
Result so far: 108.0
Subtracting 5272 from 5877 leaves us with 605.
Include the next digit (4) from the dividend after 605, then repeat: 6054 / 659

Advancing to step 6:
659 goes into 6054 9 times with a remainder of 123.
Write down 9 as next digit of the result. 
Result so far: 1089.0
Subtracting 5931 from 6054 leaves us with 123.
Take the next digit (7) from the dividend and append it to 123, then repeat: 1237 / 659

Going ahead to step 7:
If we divide 1237 by 659, we get 1 and a remainder of 578.
The next digit of our result is 1. 
Result so far: 10891.0
Subtracting 659 from 1237 leaves us with 578.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5780, and continue the process.

Going ahead to step 8:
If we divide 5780 by 659, we get 8 and a remainder of 508.
Use 8 as the next digit of our solution. 
Result so far: 10891.8
Subtract 5272 from 5780 to get 508.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5080, and continue the process.

On to step 9:
If we divide 5080 by 659, we get 7 and a remainder of 467.
The next digit of our result is 7. 
Result so far: 10891.87
If we subtract 4613 from 5080, we get 467.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4670, and continue the process.

Moving on to step 10:
If we divide 4670 by 659, we get 7 and a remainder of 57.
Record the quotient 7 as the next digit in the result. 
Result so far: 10891.877
If we take 4613 away from 4670, we end up with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

In conclusion, the division gives 10891.877 with a balance of 0.0057.