We look at the division of 78425114 by 113 
We want to figure out the number of times 78425114 can be divided by 113.

Moving on to step 1:
113 goes into 7 0 times with 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.
Include the next digit (8) from the dividend after 7, then repeat: 78 / 113

On to step 2:
The number 113 fits into 78 0 times, leaving a remainder of 78.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 78 after subtracting 0 from 78.
Append the next digit (4) from the dividend to 78 and continue with: 784 / 113

Going ahead to step 3:
If we divide 784 by 113, we get 6 and a remainder of 106.
Use 6 as the next digit of our solution. 
Result so far: 6.0
The remainder is 106 after subtracting 678 from 784.
Fetch the next digit (2) from the dividend, attach it to 106 and continue: 1062 / 113

Going ahead to step 4:
1062 divided by 113 is 9 with a remainder of 45.
The number 9 becomes the next digit in our result. 
Result so far: 69.0
If we subtract 1017 from 1062, we get 45.
Take the next digit (5) from the dividend and append it to 45, then repeat: 455 / 113

Step 5:
113 can be fit into 455 4 times, resulting in a remainder of 3.
Put 4 as the next digit of the answer. 
Result so far: 694.0
If we subtract 452 from 455, we get 3.
Take the next digit (1) from the dividend and append it to 3, then repeat: 31 / 113

Moving on to step 6:
The number 113 fits into 31 0 times, leaving a remainder of 31.
Put 0 as the next digit of the answer. 
Result so far: 6940.0
If we subtract 0 from 31, we get 31.
Fetch the next digit (1) from the dividend, attach it to 31 and continue: 311 / 113

On to step 7:
311 divided by 113 is 2 with a remainder of 85.
Use 2 as the next digit of our solution. 
Result so far: 69402.0
Deduct 226 from 311 and we're left with 85.
Include the next digit (4) from the dividend after 85, then repeat: 854 / 113

Step 8:
The number 113 fits into 854 7 times, leaving a remainder of 63.
Record the quotient 7 as the next digit in the result. 
Result so far: 694027.0
Deduct 791 from 854 and we're left with 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Advancing to step 9:
The number 113 fits into 630 5 times, leaving a remainder of 65.
The number 5 becomes the next digit in our result. 
Result so far: 694027.5
Subtracting 565 from 630 leaves us with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Moving on to step 10:
When dividing 650 by 113, we get 5 with a remainder of 85.
Put 5 as the next digit of the answer. 
Result so far: 694027.55
Subtracting 565 from 650 leaves us with 85.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

The final result is 694027.55 with a remainder of 0.085.