Let's divide 413427 by 53
We're looking to find how many times 53 goes into 413427.

Going ahead to step 1:
If we divide 4 by 53, we get 0 and a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 53

Going ahead to step 2:
53 goes into 41 0 times with a remainder of 41.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 41, we end up with 41.
Take the next digit (3) from the dividend and append it to 41, then repeat: 413 / 53

Going ahead to step 3:
The number 53 fits into 413 7 times, leaving a remainder of 42.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Subtracting 371 from 413 leaves us with 42.
Append the next digit (4) from the dividend to 42 and continue with: 424 / 53

On to step 4:
424 divided by 53 is 8 with a remainder of 0.
The number 8 becomes the next digit in our result. 
Result so far: 78.0
If we take 424 away from 424, we end up with 0.
Include the next digit (2) from the dividend after 0, then repeat: 2 / 53

Step 5:
When dividing 2 by 53, we get 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 780.0
Subtracting 0 from 2 leaves us with 2.
Take the next digit (7) from the dividend and append it to 2, then repeat: 27 / 53

Advancing to step 6:
If we divide 27 by 53, we get 0 and a remainder of 27.
Write down 0 as next digit of the result. 
Result so far: 7800.0
If we take 0 away from 27, we end up with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Let's proceed to step 7:
The number 53 fits into 270 5 times, leaving a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 7800.5
If we take 265 away from 270, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 8:
When dividing 50 by 53, we get 0 with a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 7800.5
If we take 0 away from 50, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 9:
The number 53 fits into 500 9 times, leaving a remainder of 23.
The next digit of our result is 9. 
Result so far: 7800.509
If we take 477 away from 500, 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 10:
If we divide 230 by 53, we get 4 and a remainder of 18.
Record the quotient 4 as the next digit in the result. 
Result so far: 7800.5094
Deduct 212 from 230 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 11:
180 divided by 53 is 3 with a remainder of 21.
Use 3 as the next digit of our solution. 
Result so far: 7800.50943
The remainder is 21 after subtracting 159 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 12:
When dividing 210 by 53, we get 3 with a remainder of 51.
The number 3 becomes the next digit in our result. 
Result so far: 7800.509433
Deduct 159 from 210 and we're left 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 result is 7800.509433 with a remainder of 5.1e-06.