We're dividing 7638231 by 704 
We want to divide 7638231 by 704.

Going ahead to step 1:
When dividing 7 by 704, we get 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Append the next digit (6) from the dividend to 7 and continue with: 76 / 704

Step 2:
76 divided by 704 is 0 with a remainder of 76.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 76, we get 76.
Append the next digit (3) from the dividend to 76 and continue with: 763 / 704

On to step 3:
763 divided by 704 is 1 with a remainder of 59.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 59 after subtracting 704 from 763.
Grab the next digit (8) from the dividend, add it to 59, then carry on: 598 / 704

Going ahead to step 4:
If we divide 598 by 704, we get 0 and a remainder of 598.
The next digit of our result is 0. 
Result so far: 10.0
If we take 0 away from 598, we end up with 598.
Take the next digit (2) from the dividend and append it to 598, then repeat: 5982 / 704

On to step 5:
If we divide 5982 by 704, we get 8 and a remainder of 350.
Record the quotient 8 as the next digit in the result. 
Result so far: 108.0
The remainder is 350 after subtracting 5632 from 5982.
Take the next digit (3) from the dividend and append it to 350, then repeat: 3503 / 704

On to step 6:
704 goes into 3503 4 times with a remainder of 687.
Put 4 as the next digit of the answer. 
Result so far: 1084.0
Deduct 2816 from 3503 and we're left with 687.
Bring next digit (1) of the dividend behind the 687 and repeat the process: 6871 / 704

Step 7:
The number 704 fits into 6871 9 times, leaving a remainder of 535.
The number 9 becomes the next digit in our result. 
Result so far: 10849.0
If we subtract 6336 from 6871, we get 535.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5350, and continue the process.

On to step 8:
If we divide 5350 by 704, we get 7 and a remainder of 422.
Record the quotient 7 as the next digit in the result. 
Result so far: 10849.7
If we take 4928 away from 5350, we end up with 422.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4220, and continue the process.

Moving on to step 9:
When dividing 4220 by 704, we get 5 with a remainder of 700.
Put 5 as the next digit of the answer. 
Result so far: 10849.75
If we subtract 3520 from 4220, we get 700.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7000, and continue the process.

Advancing to step 10:
The number 704 fits into 7000 9 times, leaving a remainder of 664.
Use 9 as the next digit of our solution. 
Result so far: 10849.759
If we subtract 6336 from 7000, we get 664.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6640, and continue the process.

Moving on to step 11:
The number 704 fits into 6640 9 times, leaving a remainder of 304.
Put 9 as the next digit of the answer. 
Result so far: 10849.7599
If we subtract 6336 from 6640, we get 304.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3040, and continue the process.

In conclusion, the division gives 10849.7599 with a balance of 0.00304.