We look at the division of 5816230 by 677 
We're looking to find how many times 677 goes into 5816230.

Going ahead to step 1:
677 goes into 5 0 times with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 677

Let's proceed to step 2:
677 goes into 58 0 times with a remainder of 58.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 58 leaves us with 58.
Fetch the next digit (1) from the dividend, attach it to 58 and continue: 581 / 677

Going ahead to step 3:
The number 677 fits into 581 0 times, leaving a remainder of 581.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 581 and we're left with 581.
Include the next digit (6) from the dividend after 581, then repeat: 5816 / 677

On to step 4:
677 can be fit into 5816 8 times, resulting in a remainder of 400.
The next digit of our result is 8. 
Result so far: 8.0
Subtracting 5416 from 5816 leaves us with 400.
Append the next digit (2) from the dividend to 400 and continue with: 4002 / 677

Going ahead to step 5:
If we divide 4002 by 677, we get 5 and a remainder of 617.
Record the quotient 5 as the next digit in the result. 
Result so far: 85.0
Subtract 3385 from 4002 to get 617.
Bring next digit (3) of the dividend behind the 617 and repeat the process: 6173 / 677

On to step 6:
6173 divided by 677 is 9 with a remainder of 80.
The next digit of our result is 9. 
Result so far: 859.0
Subtracting 6093 from 6173 leaves us with 80.
Take the next digit (0) from the dividend and append it to 80, then repeat: 800 / 677

On to step 7:
800 divided by 677 is 1 with a remainder of 123.
Record the quotient 1 as the next digit in the result. 
Result so far: 8591.0
Subtract 677 from 800 to get 123.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1230, and continue the process.

Going ahead to step 8:
677 goes into 1230 1 times with a remainder of 553.
Write down 1 as next digit of the result. 
Result so far: 8591.1
If we take 677 away from 1230, we end up with 553.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5530, and continue the process.

Advancing to step 9:
When dividing 5530 by 677, we get 8 with a remainder of 114.
Write down 8 as next digit of the result. 
Result so far: 8591.18
Subtract 5416 from 5530 to get 114.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1140, and continue the process.

On to step 10:
The number 677 fits into 1140 1 times, leaving a remainder of 463.
The next digit of our result is 1. 
Result so far: 8591.181
Subtract 677 from 1140 to get 463.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4630, and continue the process.

Step 11:
The number 677 fits into 4630 6 times, leaving a remainder of 568.
The next digit of our result is 6. 
Result so far: 8591.1816
Deduct 4062 from 4630 and we're left with 568.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5680, and continue the process.

On to step 12:
If we divide 5680 by 677, we get 8 and a remainder of 264.
The next digit of our result is 8. 
Result so far: 8591.18168
If we subtract 5416 from 5680, we get 264.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2640, and continue the process.

Moving on to step 13:
If we divide 2640 by 677, we get 3 and a remainder of 609.
Use 3 as the next digit of our solution. 
Result so far: 8591.181683
If we take 2031 away from 2640, we end up with 609.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6090, and continue the process.

Advancing to step 14:
The number 677 fits into 6090 8 times, leaving a remainder of 674.
The next digit of our result is 8. 
Result so far: 8591.1816838
If we subtract 5416 from 6090, we get 674.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6740, and continue the process.

Let's proceed to step 15:
677 goes into 6740 9 times with a remainder of 647.
Put 9 as the next digit of the answer. 
Result so far: 8591.18168389
Subtract 6093 from 6740 to get 647.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6470, and continue the process.

The final result is 8591.18168389 with a remainder of 6.47e-07.