We look at the division of 78381525 by 724 
We want to divide 78381525 by 724.

Let's proceed to step 1:
724 goes into 7 0 times with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Take the next digit (8) from the dividend and append it to 7, then repeat: 78 / 724

Step 2:
78 divided by 724 is 0 with a remainder of 78.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 78, we get 78.
Grab the next digit (3) from the dividend, add it to 78, then carry on: 783 / 724

On to step 3:
724 can be fit into 783 1 times, resulting in a remainder of 59.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 724 from 783 and we're left with 59.
Append the next digit (8) from the dividend to 59 and continue with: 598 / 724

Going ahead to step 4:
598 divided by 724 is 0 with a remainder of 598.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Deduct 0 from 598 and we're left with 598.
Bring next digit (1) of the dividend behind the 598 and repeat the process: 5981 / 724

Going ahead to step 5:
5981 divided by 724 is 8 with a remainder of 189.
Put 8 as the next digit of the answer. 
Result so far: 108.0
The remainder is 189 after subtracting 5792 from 5981.
Take the next digit (5) from the dividend and append it to 189, then repeat: 1895 / 724

Going ahead to step 6:
The number 724 fits into 1895 2 times, leaving a remainder of 447.
The next digit of our result is 2. 
Result so far: 1082.0
If we subtract 1448 from 1895, we get 447.
Take the next digit (2) from the dividend and append it to 447, then repeat: 4472 / 724

Moving on to step 7:
The number 724 fits into 4472 6 times, leaving a remainder of 128.
Write down 6 as next digit of the result. 
Result so far: 10826.0
Deduct 4344 from 4472 and we're left with 128.
Include the next digit (5) from the dividend after 128, then repeat: 1285 / 724

Going ahead to step 8:
1285 divided by 724 is 1 with a remainder of 561.
Use 1 as the next digit of our solution. 
Result so far: 108261.0
Subtract 724 from 1285 to get 561.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5610, and continue the process.

Let's proceed to step 9:
When dividing 5610 by 724, we get 7 with a remainder of 542.
The next digit of our result is 7. 
Result so far: 108261.7
If we subtract 5068 from 5610, we get 542.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5420, and continue the process.

Let's proceed to step 10:
5420 divided by 724 is 7 with a remainder of 352.
Record the quotient 7 as the next digit in the result. 
Result so far: 108261.77
Subtracting 5068 from 5420 leaves us with 352.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3520, and continue the process.

After the division, we end up with 108261.77 and a remainder of 0.352.