Let's divide 75660909 by 742
Our goal is to divide 75660909 by 742.

Step 1:
When dividing 7 by 742, we get 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Bring next digit (5) of the dividend behind the 7 and repeat the process: 75 / 742

On to step 2:
When dividing 75 by 742, we get 0 with a remainder of 75.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 75 leaves us with 75.
Fetch the next digit (6) from the dividend, attach it to 75 and continue: 756 / 742

Advancing to step 3:
742 goes into 756 1 times with a remainder of 14.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 14 after subtracting 742 from 756.
Include the next digit (6) from the dividend after 14, then repeat: 146 / 742

Step 4:
The number 742 fits into 146 0 times, leaving a remainder of 146.
Write down 0 as next digit of the result. 
Result so far: 10.0
Deduct 0 from 146 and we're left with 146.
Fetch the next digit (0) from the dividend, attach it to 146 and continue: 1460 / 742

Step 5:
742 can be fit into 1460 1 times, resulting in a remainder of 718.
Put 1 as the next digit of the answer. 
Result so far: 101.0
Deduct 742 from 1460 and we're left with 718.
Fetch the next digit (9) from the dividend, attach it to 718 and continue: 7189 / 742

Step 6:
When dividing 7189 by 742, we get 9 with a remainder of 511.
The next digit of our result is 9. 
Result so far: 1019.0
Deduct 6678 from 7189 and we're left with 511.
Bring next digit (0) of the dividend behind the 511 and repeat the process: 5110 / 742

Step 7:
742 can be fit into 5110 6 times, resulting in a remainder of 658.
Put 6 as the next digit of the answer. 
Result so far: 10196.0
If we take 4452 away from 5110, we end up with 658.
Fetch the next digit (9) from the dividend, attach it to 658 and continue: 6589 / 742

Advancing to step 8:
742 goes into 6589 8 times with a remainder of 653.
Record the quotient 8 as the next digit in the result. 
Result so far: 101968.0
The remainder is 653 after subtracting 5936 from 6589.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6530, and continue the process.

Let's proceed to step 9:
The number 742 fits into 6530 8 times, leaving a remainder of 594.
Use 8 as the next digit of our solution. 
Result so far: 101968.8
Deduct 5936 from 6530 and we're left with 594.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5940, and continue the process.

Moving on to step 10:
If we divide 5940 by 742, we get 8 and a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 101968.88
Deduct 5936 from 5940 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

After the division, we end up with 101968.88 and a remainder of 0.004.