We look at the division of 353627 by 53 
Let's see how many times 53 fits into 353627.

Going ahead to step 1:
If we divide 3 by 53, we get 0 and a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 53

Advancing to step 2:
When dividing 35 by 53, we get 0 with a remainder of 35.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 35 after subtracting 0 from 35.
Append the next digit (3) from the dividend to 35 and continue with: 353 / 53

Step 3:
53 can be fit into 353 6 times, resulting in a remainder of 35.
Write down 6 as next digit of the result. 
Result so far: 6.0
Subtracting 318 from 353 leaves us with 35.
Take the next digit (6) from the dividend and append it to 35, then repeat: 356 / 53

Moving on to step 4:
53 can be fit into 356 6 times, resulting in a remainder of 38.
Put 6 as the next digit of the answer. 
Result so far: 66.0
Subtracting 318 from 356 leaves us with 38.
Include the next digit (2) from the dividend after 38, then repeat: 382 / 53

Let's proceed to step 5:
53 goes into 382 7 times with a remainder of 11.
Write down 7 as next digit of the result. 
Result so far: 667.0
Subtract 371 from 382 to get 11.
Include the next digit (7) from the dividend after 11, then repeat: 117 / 53

Advancing to step 6:
If we divide 117 by 53, we get 2 and a remainder of 11.
Put 2 as the next digit of the answer. 
Result so far: 6672.0
Subtract 106 from 117 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 7:
53 can be fit into 110 2 times, resulting in a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 6672.2
Deduct 106 from 110 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.

On to step 8:
40 divided by 53 is 0 with a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 6672.2
Subtract 0 from 40 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 9:
53 can be fit into 400 7 times, resulting in a remainder of 29.
Use 7 as the next digit of our solution. 
Result so far: 6672.207
Subtract 371 from 400 to get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Going ahead to step 10:
If we divide 290 by 53, we get 5 and a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 6672.2075
The remainder is 25 after subtracting 265 from 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 11:
53 can be fit into 250 4 times, resulting in a remainder of 38.
Put 4 as the next digit of the answer. 
Result so far: 6672.20754
Subtracting 212 from 250 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 12:
53 goes into 380 7 times with a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 6672.207547
The remainder is 9 after subtracting 371 from 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 13:
The number 53 fits into 90 1 times, leaving a remainder of 37.
Record the quotient 1 as the next digit in the result. 
Result so far: 6672.2075471
If we take 53 away from 90, we end up with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Moving on to step 14:
53 can be fit into 370 6 times, resulting in a remainder of 52.
Write down 6 as next digit of the result. 
Result so far: 6672.20754716
Deduct 318 from 370 and we're left with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

The final result is 6672.20754716 with a remainder of 5.2e-08.