We divide 420684 by 53
We want to figure out the number of times 420684 can be divided by 53.

Moving on to step 1:
53 goes into 4 0 times with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Append the next digit (2) from the dividend to 4 and continue with: 42 / 53

Let's proceed to step 2:
53 goes into 42 0 times with a remainder of 42.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 42 after subtracting 0 from 42.
Include the next digit (0) from the dividend after 42, then repeat: 420 / 53

Moving on to step 3:
53 can be fit into 420 7 times, resulting in a remainder of 49.
The next digit of our result is 7. 
Result so far: 7.0
Subtracting 371 from 420 leaves us with 49.
Take the next digit (6) from the dividend and append it to 49, then repeat: 496 / 53

Advancing to step 4:
The number 53 fits into 496 9 times, leaving a remainder of 19.
The number 9 becomes the next digit in our result. 
Result so far: 79.0
Deduct 477 from 496 and we're left with 19.
Grab the next digit (8) from the dividend, add it to 19, then carry on: 198 / 53

Moving on to step 5:
53 goes into 198 3 times with a remainder of 39.
Put 3 as the next digit of the answer. 
Result so far: 793.0
Subtracting 159 from 198 leaves us with 39.
Fetch the next digit (4) from the dividend, attach it to 39 and continue: 394 / 53

On to step 6:
If we divide 394 by 53, we get 7 and a remainder of 23.
Put 7 as the next digit of the answer. 
Result so far: 7937.0
If we take 371 away from 394, we end up with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Going ahead to step 7:
When dividing 230 by 53, we get 4 with a remainder of 18.
Put 4 as the next digit of the answer. 
Result so far: 7937.4
Subtract 212 from 230 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 8:
The number 53 fits into 180 3 times, leaving a remainder of 21.
Record the quotient 3 as the next digit in the result. 
Result so far: 7937.43
Deduct 159 from 180 and we're left 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.

Going ahead to step 9:
If we divide 210 by 53, we get 3 and a remainder of 51.
Use 3 as the next digit of our solution. 
Result so far: 7937.433
If we take 159 away from 210, we end up 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.

The final outcome is 7937.433, with a leftover of 0.0051.