We're dividing 776357 by 113 
We want to divide 776357 by 113.

Moving on to step 1:
If we divide 7 by 113, we get 0 and a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Take the next digit (7) from the dividend and append it to 7, then repeat: 77 / 113

Moving on to step 2:
The number 113 fits into 77 0 times, leaving a remainder of 77.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 77, we get 77.
Bring next digit (6) of the dividend behind the 77 and repeat the process: 776 / 113

Moving on to step 3:
113 goes into 776 6 times with a remainder of 98.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we subtract 678 from 776, we get 98.
Append the next digit (3) from the dividend to 98 and continue with: 983 / 113

Going ahead to step 4:
113 goes into 983 8 times with a remainder of 79.
Record the quotient 8 as the next digit in the result. 
Result so far: 68.0
If we subtract 904 from 983, we get 79.
Include the next digit (5) from the dividend after 79, then repeat: 795 / 113

Step 5:
If we divide 795 by 113, we get 7 and a remainder of 4.
The number 7 becomes the next digit in our result. 
Result so far: 687.0
If we take 791 away from 795, we end up with 4.
Fetch the next digit (7) from the dividend, attach it to 4 and continue: 47 / 113

On to step 6:
The number 113 fits into 47 0 times, leaving a remainder of 47.
The next digit of our result is 0. 
Result so far: 6870.0
Subtract 0 from 47 to get 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

On to step 7:
The number 113 fits into 470 4 times, leaving a remainder of 18.
The number 4 becomes the next digit in our result. 
Result so far: 6870.4
Deduct 452 from 470 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 8:
If we divide 180 by 113, we get 1 and a remainder of 67.
The number 1 becomes the next digit in our result. 
Result so far: 6870.41
The remainder is 67 after subtracting 113 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Let's proceed to step 9:
113 goes into 670 5 times with a remainder of 105.
Use 5 as the next digit of our solution. 
Result so far: 6870.415
Subtracting 565 from 670 leaves us with 105.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1050, and continue the process.

Let's proceed to step 10:
113 can be fit into 1050 9 times, resulting in a remainder of 33.
The number 9 becomes the next digit in our result. 
Result so far: 6870.4159
Subtracting 1017 from 1050 leaves us 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.

Step 11:
The number 113 fits into 330 2 times, leaving a remainder of 104.
The number 2 becomes the next digit in our result. 
Result so far: 6870.41592
Subtracting 226 from 330 leaves us with 104.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1040, and continue the process.

Let's proceed to step 12:
If we divide 1040 by 113, we get 9 and a remainder of 23.
The number 9 becomes the next digit in our result. 
Result so far: 6870.415929
Subtracting 1017 from 1040 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

On to step 13:
113 goes into 230 2 times with a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 6870.4159292
If we subtract 226 from 230, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 14:
113 can be fit into 40 0 times, resulting in a remainder of 40.
The next digit of our result is 0. 
Result so far: 6870.4159292
If we take 0 away from 40, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Our division results in 6870.4159292 with a remaining 4e-08.