We look at the division of 74242801 by 353 
We're looking to find how many times 353 goes into 74242801.

On to step 1:
353 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.
Grab the next digit (4) from the dividend, add it to 7, then carry on: 74 / 353

Going ahead to step 2:
The number 353 fits into 74 0 times, leaving a remainder of 74.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 74 leaves us with 74.
Append the next digit (2) from the dividend to 74 and continue with: 742 / 353

Let's proceed to step 3:
742 divided by 353 is 2 with a remainder of 36.
The next digit of our result is 2. 
Result so far: 2.0
Subtract 706 from 742 to get 36.
Bring next digit (4) of the dividend behind the 36 and repeat the process: 364 / 353

Advancing to step 4:
When dividing 364 by 353, we get 1 with a remainder of 11.
Put 1 as the next digit of the answer. 
Result so far: 21.0
Deduct 353 from 364 and we're left with 11.
Include the next digit (2) from the dividend after 11, then repeat: 112 / 353

Let's proceed to step 5:
112 divided by 353 is 0 with a remainder of 112.
Record the quotient 0 as the next digit in the result. 
Result so far: 210.0
If we take 0 away from 112, we end up with 112.
Grab the next digit (8) from the dividend, add it to 112, then carry on: 1128 / 353

Let's proceed to step 6:
If we divide 1128 by 353, we get 3 and a remainder of 69.
Use 3 as the next digit of our solution. 
Result so far: 2103.0
If we take 1059 away from 1128, we end up with 69.
Append the next digit (0) from the dividend to 69 and continue with: 690 / 353

Moving on to step 7:
If we divide 690 by 353, we get 1 and a remainder of 337.
The number 1 becomes the next digit in our result. 
Result so far: 21031.0
Deduct 353 from 690 and we're left with 337.
Bring next digit (1) of the dividend behind the 337 and repeat the process: 3371 / 353

Moving on to step 8:
When dividing 3371 by 353, we get 9 with a remainder of 194.
The next digit of our result is 9. 
Result so far: 210319.0
Subtracting 3177 from 3371 leaves us with 194.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1940, and continue the process.

Let's proceed to step 9:
If we divide 1940 by 353, we get 5 and a remainder of 175.
Use 5 as the next digit of our solution. 
Result so far: 210319.5
Subtracting 1765 from 1940 leaves us with 175.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1750, and continue the process.

Going ahead to step 10:
If we divide 1750 by 353, we get 4 and a remainder of 338.
Use 4 as the next digit of our solution. 
Result so far: 210319.54
Subtract 1412 from 1750 to get 338.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3380, and continue the process.

Let's proceed to step 11:
The number 353 fits into 3380 9 times, leaving a remainder of 203.
The next digit of our result is 9. 
Result so far: 210319.549
If we subtract 3177 from 3380, we get 203.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2030, and continue the process.

Advancing to step 12:
2030 divided by 353 is 5 with a remainder of 265.
Record the quotient 5 as the next digit in the result. 
Result so far: 210319.5495
The remainder is 265 after subtracting 1765 from 2030.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2650, and continue the process.

Advancing to step 13:
353 can be fit into 2650 7 times, resulting in a remainder of 179.
The number 7 becomes the next digit in our result. 
Result so far: 210319.54957
If we subtract 2471 from 2650, we get 179.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1790, and continue the process.

Advancing to step 14:
The number 353 fits into 1790 5 times, leaving a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 210319.549575
The remainder is 25 after subtracting 1765 from 1790.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 15:
250 divided by 353 is 0 with a remainder of 250.
The next digit of our result is 0. 
Result so far: 210319.549575
If we subtract 0 from 250, we get 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2500, and continue the process.

Let's proceed to step 16:
The number 353 fits into 2500 7 times, leaving a remainder of 29.
Write down 7 as next digit of the result. 
Result so far: 210319.54957507
Subtracting 2471 from 2500 leaves us with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

After the division, we end up with 210319.54957507 and a remainder of 2.9e-08.