We're dividing 414922 by 53 
Let's see how many times 53 fits into 414922.

Advancing to 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.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 53

Step 2:
The number 53 fits into 41 0 times, leaving a remainder of 41.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 41, we get 41.
Fetch the next digit (4) from the dividend, attach it to 41 and continue: 414 / 53

Moving on to step 3:
When dividing 414 by 53, we get 7 with a remainder of 43.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Subtracting 371 from 414 leaves us with 43.
Append the next digit (9) from the dividend to 43 and continue with: 439 / 53

Advancing to step 4:
439 divided by 53 is 8 with a remainder of 15.
Record the quotient 8 as the next digit in the result. 
Result so far: 78.0
Deduct 424 from 439 and we're left with 15.
Bring next digit (2) of the dividend behind the 15 and repeat the process: 152 / 53

Advancing to step 5:
152 divided by 53 is 2 with a remainder of 46.
Record the quotient 2 as the next digit in the result. 
Result so far: 782.0
Subtracting 106 from 152 leaves us with 46.
Bring next digit (2) of the dividend behind the 46 and repeat the process: 462 / 53

Going ahead to step 6:
53 can be fit into 462 8 times, resulting in a remainder of 38.
Put 8 as the next digit of the answer. 
Result so far: 7828.0
If we take 424 away from 462, 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.

Moving on to step 7:
If we divide 380 by 53, we get 7 and a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 7828.7
Subtract 371 from 380 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 8:
90 divided by 53 is 1 with a remainder of 37.
The number 1 becomes the next digit in our result. 
Result so far: 7828.71
The remainder is 37 after subtracting 53 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Let's proceed to step 9:
53 goes into 370 6 times with a remainder of 52.
Write down 6 as next digit of the result. 
Result so far: 7828.716
If we take 318 away from 370, we end up 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.

Step 10:
When dividing 520 by 53, we get 9 with a remainder of 43.
Use 9 as the next digit of our solution. 
Result so far: 7828.7169
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.

Advancing to step 11:
53 can be fit into 430 8 times, resulting in a remainder of 6.
The next digit of our result is 8. 
Result so far: 7828.71698
If we take 424 away from 430, we end up 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 12:
60 divided by 53 is 1 with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 7828.716981
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.

Advancing to step 13:
70 divided by 53 is 1 with a remainder of 17.
The number 1 becomes the next digit in our result. 
Result so far: 7828.7169811
Deduct 53 from 70 and we're left 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.

The quotient of the division is 7828.7169811, and the remainder is 1.7e-07.