We look at the division of 420352 by 53 
We want to figure out the number of times 420352 can be divided by 53.

Step 1:
The number 53 fits into 4 0 times, leaving a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Take the next digit (2) from the dividend and append it to 4, then repeat: 42 / 53

Advancing to step 2:
When dividing 42 by 53, we get 0 with a remainder of 42.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 42 to get 42.
Grab the next digit (0) from the dividend, add it to 42, then carry on: 420 / 53

On to step 3:
The number 53 fits into 420 7 times, leaving a remainder of 49.
The next digit of our result is 7. 
Result so far: 7.0
If we take 371 away from 420, we end up with 49.
Fetch the next digit (3) from the dividend, attach it to 49 and continue: 493 / 53

Let's proceed to step 4:
53 can be fit into 493 9 times, resulting in a remainder of 16.
Record the quotient 9 as the next digit in the result. 
Result so far: 79.0
Subtract 477 from 493 to get 16.
Append the next digit (5) from the dividend to 16 and continue with: 165 / 53

Going ahead to step 5:
53 goes into 165 3 times with a remainder of 6.
The next digit of our result is 3. 
Result so far: 793.0
Subtract 159 from 165 to get 6.
Include the next digit (2) from the dividend after 6, then repeat: 62 / 53

Let's proceed to step 6:
The number 53 fits into 62 1 times, leaving a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 7931.0
If we take 53 away from 62, we end up 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.

On to step 7:
53 goes into 90 1 times with a remainder of 37.
The next digit of our result is 1. 
Result so far: 7931.1
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.

Going ahead to step 8:
When dividing 370 by 53, we get 6 with a remainder of 52.
The next digit of our result is 6. 
Result so far: 7931.16
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.

Advancing to step 9:
520 divided by 53 is 9 with a remainder of 43.
Record the quotient 9 as the next digit in the result. 
Result so far: 7931.169
The remainder is 43 after subtracting 477 from 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Going ahead to step 10:
53 can be fit into 430 8 times, resulting in a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 7931.1698
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.

Advancing to step 11:
If we divide 60 by 53, we get 1 and a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 7931.16981
The remainder is 7 after subtracting 53 from 60.
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 12:
53 goes into 70 1 times with a remainder of 17.
Put 1 as the next digit of the answer. 
Result so far: 7931.169811
The remainder is 17 after subtracting 53 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

After the division, we end up with 7931.169811 and a remainder of 1.7e-06.