We look at the division of 75406238 by 743 
We want to figure out the number of times 75406238 can be divided by 743.

Advancing to step 1:
7 divided by 743 is 0 with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Bring next digit (5) of the dividend behind the 7 and repeat the process: 75 / 743

Let's proceed to step 2:
If we divide 75 by 743, we get 0 and a remainder of 75.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 75 after subtracting 0 from 75.
Fetch the next digit (4) from the dividend, attach it to 75 and continue: 754 / 743

Step 3:
If we divide 754 by 743, we get 1 and a remainder of 11.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 743 from 754 and we're left with 11.
Fetch the next digit (0) from the dividend, attach it to 11 and continue: 110 / 743

Advancing to step 4:
110 divided by 743 is 0 with a remainder of 110.
The next digit of our result is 0. 
Result so far: 10.0
Subtracting 0 from 110 leaves us with 110.
Grab the next digit (6) from the dividend, add it to 110, then carry on: 1106 / 743

On to step 5:
If we divide 1106 by 743, we get 1 and a remainder of 363.
Write down 1 as next digit of the result. 
Result so far: 101.0
If we subtract 743 from 1106, we get 363.
Fetch the next digit (2) from the dividend, attach it to 363 and continue: 3632 / 743

Going ahead to step 6:
The number 743 fits into 3632 4 times, leaving a remainder of 660.
Write down 4 as next digit of the result. 
Result so far: 1014.0
Deduct 2972 from 3632 and we're left with 660.
Append the next digit (3) from the dividend to 660 and continue with: 6603 / 743

On to step 7:
6603 divided by 743 is 8 with a remainder of 659.
The next digit of our result is 8. 
Result so far: 10148.0
Subtract 5944 from 6603 to get 659.
Fetch the next digit (8) from the dividend, attach it to 659 and continue: 6598 / 743

Moving on to step 8:
743 goes into 6598 8 times with a remainder of 654.
Write down 8 as next digit of the result. 
Result so far: 101488.0
If we take 5944 away from 6598, we end up with 654.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6540, and continue the process.

Step 9:
743 goes into 6540 8 times with a remainder of 596.
The next digit of our result is 8. 
Result so far: 101488.8
If we subtract 5944 from 6540, we get 596.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5960, and continue the process.

Let's proceed to step 10:
743 can be fit into 5960 8 times, resulting in a remainder of 16.
Record the quotient 8 as the next digit in the result. 
Result so far: 101488.88
Subtract 5944 from 5960 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

The quotient of the division is 101488.88, and the remainder is 0.016.