We look at the division of 421636 by 53 
We're looking to find how many times 53 goes into 421636.

Moving on to step 1:
If we divide 4 by 53, we get 0 and a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Grab the next digit (2) from the dividend, add it to 4, then carry on: 42 / 53

Moving on to step 2:
The number 53 fits into 42 0 times, leaving a remainder of 42.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 42, we end up with 42.
Append the next digit (1) from the dividend to 42 and continue with: 421 / 53

Going ahead to step 3:
When dividing 421 by 53, we get 7 with a remainder of 50.
Write down 7 as next digit of the result. 
Result so far: 7.0
Deduct 371 from 421 and we're left with 50.
Fetch the next digit (6) from the dividend, attach it to 50 and continue: 506 / 53

Let's proceed to step 4:
If we divide 506 by 53, we get 9 and a remainder of 29.
Write down 9 as next digit of the result. 
Result so far: 79.0
Subtract 477 from 506 to get 29.
Fetch the next digit (3) from the dividend, attach it to 29 and continue: 293 / 53

Let's proceed to step 5:
If we divide 293 by 53, we get 5 and a remainder of 28.
Put 5 as the next digit of the answer. 
Result so far: 795.0
If we take 265 away from 293, we end up with 28.
Bring next digit (6) of the dividend behind the 28 and repeat the process: 286 / 53

Moving on to step 6:
When dividing 286 by 53, we get 5 with a remainder of 21.
Write down 5 as next digit of the result. 
Result so far: 7955.0
If we take 265 away from 286, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 7:
The number 53 fits into 210 3 times, leaving a remainder of 51.
Put 3 as the next digit of the answer. 
Result so far: 7955.3
The remainder is 51 after subtracting 159 from 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Let's proceed to step 8:
The number 53 fits into 510 9 times, leaving a remainder of 33.
Use 9 as the next digit of our solution. 
Result so far: 7955.39
Deduct 477 from 510 and we're left with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

On to step 9:
330 divided by 53 is 6 with a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 7955.396
Subtracting 318 from 330 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 10:
53 can be fit into 120 2 times, resulting in a remainder of 14.
The number 2 becomes the next digit in our result. 
Result so far: 7955.3962
Subtracting 106 from 120 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 11:
If we divide 140 by 53, we get 2 and a remainder of 34.
The number 2 becomes the next digit in our result. 
Result so far: 7955.39622
Deduct 106 from 140 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

The final outcome is 7955.39622, with a leftover of 3.4e-05.