75326565 ÷ 742 
Our goal is to divide 75326565 by 742.

Step 1:
742 goes into 7 0 times with a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Include the next digit (5) from the dividend after 7, then repeat: 75 / 742

Moving on to step 2:
742 can be fit into 75 0 times, resulting in a remainder of 75.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 75, we get 75.
Include the next digit (3) from the dividend after 75, then repeat: 753 / 742

Advancing to step 3:
753 divided by 742 is 1 with a remainder of 11.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 11 after subtracting 742 from 753.
Bring next digit (2) of the dividend behind the 11 and repeat the process: 112 / 742

Advancing to step 4:
The number 742 fits into 112 0 times, leaving a remainder of 112.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
The remainder is 112 after subtracting 0 from 112.
Append the next digit (6) from the dividend to 112 and continue with: 1126 / 742

Advancing to step 5:
742 goes into 1126 1 times with a remainder of 384.
The next digit of our result is 1. 
Result so far: 101.0
If we subtract 742 from 1126, we get 384.
Fetch the next digit (5) from the dividend, attach it to 384 and continue: 3845 / 742

Step 6:
The number 742 fits into 3845 5 times, leaving a remainder of 135.
Use 5 as the next digit of our solution. 
Result so far: 1015.0
Subtracting 3710 from 3845 leaves us with 135.
Include the next digit (6) from the dividend after 135, then repeat: 1356 / 742

Let's proceed to step 7:
When dividing 1356 by 742, we get 1 with a remainder of 614.
The number 1 becomes the next digit in our result. 
Result so far: 10151.0
Subtract 742 from 1356 to get 614.
Append the next digit (5) from the dividend to 614 and continue with: 6145 / 742

Advancing to step 8:
742 goes into 6145 8 times with a remainder of 209.
Record the quotient 8 as the next digit in the result. 
Result so far: 101518.0
If we take 5936 away from 6145, we end up with 209.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2090, and continue the process.

Moving on to step 9:
The number 742 fits into 2090 2 times, leaving a remainder of 606.
Put 2 as the next digit of the answer. 
Result so far: 101518.2
Subtract 1484 from 2090 to get 606.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6060, and continue the process.

Step 10:
When dividing 6060 by 742, we get 8 with a remainder of 124.
Record the quotient 8 as the next digit in the result. 
Result so far: 101518.28
If we subtract 5936 from 6060, we get 124.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1240, and continue the process.

On to step 11:
742 goes into 1240 1 times with a remainder of 498.
Write down 1 as next digit of the result. 
Result so far: 101518.281
If we subtract 742 from 1240, we get 498.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4980, and continue the process.

On to step 12:
If we divide 4980 by 742, we get 6 and a remainder of 528.
Write down 6 as next digit of the result. 
Result so far: 101518.2816
The remainder is 528 after subtracting 4452 from 4980.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5280, and continue the process.

Let's proceed to step 13:
742 goes into 5280 7 times with a remainder of 86.
The next digit of our result is 7. 
Result so far: 101518.28167
If we take 5194 away from 5280, we end up with 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Advancing to step 14:
742 can be fit into 860 1 times, resulting in a remainder of 118.
Use 1 as the next digit of our solution. 
Result so far: 101518.281671
If we take 742 away from 860, we end up with 118.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1180, and continue the process.

On to step 15:
If we divide 1180 by 742, we get 1 and a remainder of 438.
The number 1 becomes the next digit in our result. 
Result so far: 101518.2816711
The remainder is 438 after subtracting 742 from 1180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4380, and continue the process.

The quotient of the division is 101518.2816711, and the remainder is 4.38e-06.