We're dividing 7813861 by 965 
We want to divide 7813861 by 965.

Let's proceed to step 1:
If we divide 7 by 965, we get 0 and a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Fetch the next digit (8) from the dividend, attach it to 7 and continue: 78 / 965

Going ahead to step 2:
If we divide 78 by 965, we get 0 and a remainder of 78.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 78 to get 78.
Bring next digit (1) of the dividend behind the 78 and repeat the process: 781 / 965

On to step 3:
965 can be fit into 781 0 times, resulting in a remainder of 781.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 781, we get 781.
Take the next digit (3) from the dividend and append it to 781, then repeat: 7813 / 965

On to step 4:
965 can be fit into 7813 8 times, resulting in a remainder of 93.
Put 8 as the next digit of the answer. 
Result so far: 8.0
If we subtract 7720 from 7813, we get 93.
Include the next digit (8) from the dividend after 93, then repeat: 938 / 965

Advancing to step 5:
If we divide 938 by 965, we get 0 and a remainder of 938.
Put 0 as the next digit of the answer. 
Result so far: 80.0
Subtract 0 from 938 to get 938.
Include the next digit (6) from the dividend after 938, then repeat: 9386 / 965

Let's proceed to step 6:
965 can be fit into 9386 9 times, resulting in a remainder of 701.
The next digit of our result is 9. 
Result so far: 809.0
If we subtract 8685 from 9386, we get 701.
Bring next digit (1) of the dividend behind the 701 and repeat the process: 7011 / 965

Let's proceed to step 7:
The number 965 fits into 7011 7 times, leaving a remainder of 256.
Write down 7 as next digit of the result. 
Result so far: 8097.0
Subtract 6755 from 7011 to get 256.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2560, and continue the process.

Going ahead to step 8:
When dividing 2560 by 965, we get 2 with a remainder of 630.
Use 2 as the next digit of our solution. 
Result so far: 8097.2
Deduct 1930 from 2560 and we're left with 630.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6300, and continue the process.

Advancing to step 9:
When dividing 6300 by 965, we get 6 with a remainder of 510.
Use 6 as the next digit of our solution. 
Result so far: 8097.26
Subtracting 5790 from 6300 leaves us with 510.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5100, and continue the process.

Advancing to step 10:
5100 divided by 965 is 5 with a remainder of 275.
Put 5 as the next digit of the answer. 
Result so far: 8097.265
Subtract 4825 from 5100 to get 275.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2750, and continue the process.

On to step 11:
If we divide 2750 by 965, we get 2 and a remainder of 820.
Put 2 as the next digit of the answer. 
Result so far: 8097.2652
If we subtract 1930 from 2750, we get 820.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8200, and continue the process.

Let's proceed to step 12:
If we divide 8200 by 965, we get 8 and a remainder of 480.
Write down 8 as next digit of the result. 
Result so far: 8097.26528
Subtracting 7720 from 8200 leaves us with 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4800, and continue the process.

Step 13:
4800 divided by 965 is 4 with a remainder of 940.
Put 4 as the next digit of the answer. 
Result so far: 8097.265284
If we subtract 3860 from 4800, we get 940.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9400, and continue the process.

Moving on to step 14:
When dividing 9400 by 965, we get 9 with a remainder of 715.
Put 9 as the next digit of the answer. 
Result so far: 8097.2652849
Subtracting 8685 from 9400 leaves us with 715.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7150, and continue the process.

On to step 15:
When dividing 7150 by 965, we get 7 with a remainder of 395.
The next digit of our result is 7. 
Result so far: 8097.26528497
Subtracting 6755 from 7150 leaves us with 395.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3950, and continue the process.

After the division, we end up with 8097.26528497 and a remainder of 3.95e-07.