We're dividing 628641 by 53 
Let's see how many times 53 fits into 628641.

Moving on to step 1:
When dividing 6 by 53, we get 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Append the next digit (2) from the dividend to 6 and continue with: 62 / 53

On to step 2:
If we divide 62 by 53, we get 1 and a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 53 from 62 leaves us with 9.
Grab the next digit (8) from the dividend, add it to 9, then carry on: 98 / 53

Step 3:
53 goes into 98 1 times with a remainder of 45.
Use 1 as the next digit of our solution. 
Result so far: 11.0
If we take 53 away from 98, we end up with 45.
Bring next digit (6) of the dividend behind the 45 and repeat the process: 456 / 53

Advancing to step 4:
53 goes into 456 8 times with a remainder of 32.
Write down 8 as next digit of the result. 
Result so far: 118.0
If we take 424 away from 456, we end up with 32.
Bring next digit (4) of the dividend behind the 32 and repeat the process: 324 / 53

Going ahead to step 5:
324 divided by 53 is 6 with a remainder of 6.
The number 6 becomes the next digit in our result. 
Result so far: 1186.0
Subtract 318 from 324 to get 6.
Append the next digit (1) from the dividend to 6 and continue with: 61 / 53

Step 6:
53 goes into 61 1 times with a remainder of 8.
Write down 1 as next digit of the result. 
Result so far: 11861.0
Deduct 53 from 61 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 7:
53 goes into 80 1 times with a remainder of 27.
The next digit of our result is 1. 
Result so far: 11861.1
The remainder is 27 after subtracting 53 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

On to step 8:
When dividing 270 by 53, we get 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 11861.15
The remainder is 5 after subtracting 265 from 270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 9:
When dividing 50 by 53, we get 0 with a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 11861.15
Subtracting 0 from 50 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 10:
The number 53 fits into 500 9 times, leaving a remainder of 23.
Put 9 as the next digit of the answer. 
Result so far: 11861.1509
If we subtract 477 from 500, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Advancing to step 11:
53 can be fit into 230 4 times, resulting in a remainder of 18.
Write down 4 as next digit of the result. 
Result so far: 11861.15094
Deduct 212 from 230 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 12:
53 goes into 180 3 times with a remainder of 21.
The next digit of our result is 3. 
Result so far: 11861.150943
Subtract 159 from 180 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 13:
The number 53 fits into 210 3 times, leaving a remainder of 51.
Write down 3 as next digit of the result. 
Result so far: 11861.1509433
Deduct 159 from 210 and we're left with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Our division results in 11861.1509433 with a remaining 5.1e-07.