We look at the division of 414374 by 52 
Let's see how many times 52 fits into 414374.

Going ahead to step 1:
4 divided by 52 is 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 52

On to step 2:
The number 52 fits into 41 0 times, leaving a remainder of 41.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 41 and we're left with 41.
Include the next digit (4) from the dividend after 41, then repeat: 414 / 52

Step 3:
414 divided by 52 is 7 with a remainder of 50.
The next digit of our result is 7. 
Result so far: 7.0
The remainder is 50 after subtracting 364 from 414.
Bring next digit (3) of the dividend behind the 50 and repeat the process: 503 / 52

Step 4:
When dividing 503 by 52, we get 9 with a remainder of 35.
The next digit of our result is 9. 
Result so far: 79.0
The remainder is 35 after subtracting 468 from 503.
Append the next digit (7) from the dividend to 35 and continue with: 357 / 52

On to step 5:
357 divided by 52 is 6 with a remainder of 45.
Put 6 as the next digit of the answer. 
Result so far: 796.0
Deduct 312 from 357 and we're left with 45.
Grab the next digit (4) from the dividend, add it to 45, then carry on: 454 / 52

Moving on to step 6:
52 goes into 454 8 times with a remainder of 38.
The next digit of our result is 8. 
Result so far: 7968.0
Deduct 416 from 454 and we're left 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 7:
380 divided by 52 is 7 with a remainder of 16.
The number 7 becomes the next digit in our result. 
Result so far: 7968.7
If we take 364 away from 380, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 8:
52 goes into 160 3 times with a remainder of 4.
Record the quotient 3 as the next digit in the result. 
Result so far: 7968.73
If we subtract 156 from 160, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 9:
52 goes into 40 0 times with a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 7968.73
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 10:
When dividing 400 by 52, we get 7 with a remainder of 36.
Record the quotient 7 as the next digit in the result. 
Result so far: 7968.7307
Subtract 364 from 400 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 11:
If we divide 360 by 52, we get 6 and a remainder of 48.
Put 6 as the next digit of the answer. 
Result so far: 7968.73076
Subtract 312 from 360 to get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Moving on to step 12:
The number 52 fits into 480 9 times, leaving a remainder of 12.
Record the quotient 9 as the next digit in the result. 
Result so far: 7968.730769
If we take 468 away from 480, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 13:
The number 52 fits into 120 2 times, leaving a remainder of 16.
The next digit of our result is 2. 
Result so far: 7968.7307692
Subtract 104 from 120 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 14:
52 goes into 160 3 times with a remainder of 4.
Use 3 as the next digit of our solution. 
Result so far: 7968.73076923
Subtract 156 from 160 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The quotient of the division is 7968.73076923, and the remainder is 4e-09.