We look at the division of 421322 by 53 
We want to figure out the number of times 421322 can be divided by 53.

Let's proceed to step 1:
53 can be fit into 4 0 times, resulting in a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Fetch the next digit (2) from the dividend, attach it to 4 and continue: 42 / 53

Let's proceed to step 2:
The number 53 fits into 42 0 times, leaving a remainder of 42.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 42 leaves us with 42.
Grab the next digit (1) from the dividend, add it to 42, then carry on: 421 / 53

Advancing to step 3:
The number 53 fits into 421 7 times, leaving a remainder of 50.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
Subtracting 371 from 421 leaves us with 50.
Fetch the next digit (3) from the dividend, attach it to 50 and continue: 503 / 53

Moving on to step 4:
When dividing 503 by 53, we get 9 with a remainder of 26.
Write down 9 as next digit of the result. 
Result so far: 79.0
If we take 477 away from 503, we end up with 26.
Grab the next digit (2) from the dividend, add it to 26, then carry on: 262 / 53

Moving on to step 5:
The number 53 fits into 262 4 times, leaving a remainder of 50.
The next digit of our result is 4. 
Result so far: 794.0
If we subtract 212 from 262, we get 50.
Bring next digit (2) of the dividend behind the 50 and repeat the process: 502 / 53

On to step 6:
The number 53 fits into 502 9 times, leaving a remainder of 25.
The next digit of our result is 9. 
Result so far: 7949.0
If we subtract 477 from 502, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 7:
53 can be fit into 250 4 times, resulting in a remainder of 38.
The number 4 becomes the next digit in our result. 
Result so far: 7949.4
If we take 212 away from 250, we end up 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.

Advancing to step 8:
The number 53 fits into 380 7 times, leaving a remainder of 9.
The next digit of our result is 7. 
Result so far: 7949.47
Deduct 371 from 380 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 9:
The number 53 fits into 90 1 times, leaving a remainder of 37.
The next digit of our result is 1. 
Result so far: 7949.471
Subtracting 53 from 90 leaves us 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.

Advancing to step 10:
370 divided by 53 is 6 with a remainder of 52.
Record the quotient 6 as the next digit in the result. 
Result so far: 7949.4716
If we subtract 318 from 370, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Moving on to step 11:
520 divided by 53 is 9 with a remainder of 43.
Use 9 as the next digit of our solution. 
Result so far: 7949.47169
Subtract 477 from 520 to get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Moving on to step 12:
430 divided by 53 is 8 with a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 7949.471698
Deduct 424 from 430 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 13:
60 divided by 53 is 1 with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 7949.4716981
If we take 53 away from 60, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 14:
If we divide 70 by 53, we get 1 and a remainder of 17.
Use 1 as the next digit of our solution. 
Result so far: 7949.47169811
If we take 53 away from 70, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Our division results in 7949.47169811 with a remaining 1.7e-08.