We're dividing 75120742 by 678 
Our goal is to divide 75120742 by 678.

Step 1:
7 divided by 678 is 0 with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Grab the next digit (5) from the dividend, add it to 7, then carry on: 75 / 678

Going ahead to step 2:
678 goes into 75 0 times with a remainder of 75.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 75 after subtracting 0 from 75.
Bring next digit (1) of the dividend behind the 75 and repeat the process: 751 / 678

Let's proceed to step 3:
678 can be fit into 751 1 times, resulting in a remainder of 73.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 73 after subtracting 678 from 751.
Fetch the next digit (2) from the dividend, attach it to 73 and continue: 732 / 678

Step 4:
732 divided by 678 is 1 with a remainder of 54.
The next digit of our result is 1. 
Result so far: 11.0
The remainder is 54 after subtracting 678 from 732.
Append the next digit (0) from the dividend to 54 and continue with: 540 / 678

On to step 5:
If we divide 540 by 678, we get 0 and a remainder of 540.
Use 0 as the next digit of our solution. 
Result so far: 110.0
Subtracting 0 from 540 leaves us with 540.
Bring next digit (7) of the dividend behind the 540 and repeat the process: 5407 / 678

Going ahead to step 6:
When dividing 5407 by 678, we get 7 with a remainder of 661.
Write down 7 as next digit of the result. 
Result so far: 1107.0
The remainder is 661 after subtracting 4746 from 5407.
Append the next digit (4) from the dividend to 661 and continue with: 6614 / 678

On to step 7:
678 can be fit into 6614 9 times, resulting in a remainder of 512.
Record the quotient 9 as the next digit in the result. 
Result so far: 11079.0
The remainder is 512 after subtracting 6102 from 6614.
Fetch the next digit (2) from the dividend, attach it to 512 and continue: 5122 / 678

Step 8:
678 can be fit into 5122 7 times, resulting in a remainder of 376.
Write down 7 as next digit of the result. 
Result so far: 110797.0
The remainder is 376 after subtracting 4746 from 5122.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3760, and continue the process.

Let's proceed to step 9:
If we divide 3760 by 678, we get 5 and a remainder of 370.
Record the quotient 5 as the next digit in the result. 
Result so far: 110797.5
Subtract 3390 from 3760 to get 370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3700, and continue the process.

Step 10:
3700 divided by 678 is 5 with a remainder of 310.
Write down 5 as next digit of the result. 
Result so far: 110797.55
The remainder is 310 after subtracting 3390 from 3700.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3100, and continue the process.

In conclusion, the division gives 110797.55 with a balance of 0.31.