We look at the division of 73765529 by 642 
We're looking to find how many times 642 goes into 73765529.

Let's proceed to step 1:
7 divided by 642 is 0 with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Grab the next digit (3) from the dividend, add it to 7, then carry on: 73 / 642

Going ahead to step 2:
If we divide 73 by 642, we get 0 and a remainder of 73.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 73, we end up with 73.
Append the next digit (7) from the dividend to 73 and continue with: 737 / 642

Going ahead to step 3:
642 goes into 737 1 times with a remainder of 95.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 95 after subtracting 642 from 737.
Grab the next digit (6) from the dividend, add it to 95, then carry on: 956 / 642

Step 4:
When dividing 956 by 642, we get 1 with a remainder of 314.
The next digit of our result is 1. 
Result so far: 11.0
If we subtract 642 from 956, we get 314.
Bring next digit (5) of the dividend behind the 314 and repeat the process: 3145 / 642

On to step 5:
If we divide 3145 by 642, we get 4 and a remainder of 577.
Write down 4 as next digit of the result. 
Result so far: 114.0
Subtract 2568 from 3145 to get 577.
Grab the next digit (5) from the dividend, add it to 577, then carry on: 5775 / 642

Going ahead to step 6:
642 goes into 5775 8 times with a remainder of 639.
Use 8 as the next digit of our solution. 
Result so far: 1148.0
If we take 5136 away from 5775, we end up with 639.
Include the next digit (2) from the dividend after 639, then repeat: 6392 / 642

On to step 7:
642 can be fit into 6392 9 times, resulting in a remainder of 614.
Put 9 as the next digit of the answer. 
Result so far: 11489.0
If we take 5778 away from 6392, we end up with 614.
Take the next digit (9) from the dividend and append it to 614, then repeat: 6149 / 642

Advancing to step 8:
642 can be fit into 6149 9 times, resulting in a remainder of 371.
Write down 9 as next digit of the result. 
Result so far: 114899.0
Subtracting 5778 from 6149 leaves us with 371.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3710, and continue the process.

On to step 9:
If we divide 3710 by 642, we get 5 and a remainder of 500.
The number 5 becomes the next digit in our result. 
Result so far: 114899.5
The remainder is 500 after subtracting 3210 from 3710.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5000, and continue the process.

Moving on to step 10:
When dividing 5000 by 642, we get 7 with a remainder of 506.
Record the quotient 7 as the next digit in the result. 
Result so far: 114899.57
Subtracting 4494 from 5000 leaves us with 506.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5060, and continue the process.

Let's proceed to step 11:
642 can be fit into 5060 7 times, resulting in a remainder of 566.
Write down 7 as next digit of the result. 
Result so far: 114899.577
The remainder is 566 after subtracting 4494 from 5060.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5660, and continue the process.

The final result is 114899.577 with a remainder of 0.0566.