Let's divide 414106 by 52
We want to figure out the number of times 414106 can be divided by 52.

On to step 1:
52 goes into 4 0 times with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 52

Moving on to step 2:
The number 52 fits into 41 0 times, leaving a remainder of 41.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 41, we end up with 41.
Append the next digit (4) from the dividend to 41 and continue with: 414 / 52

Let's proceed to step 3:
If we divide 414 by 52, we get 7 and a remainder of 50.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
If we take 364 away from 414, we end up with 50.
Bring next digit (1) of the dividend behind the 50 and repeat the process: 501 / 52

Going ahead to step 4:
52 goes into 501 9 times with a remainder of 33.
Use 9 as the next digit of our solution. 
Result so far: 79.0
Deduct 468 from 501 and we're left with 33.
Append the next digit (0) from the dividend to 33 and continue with: 330 / 52

Moving on to step 5:
When dividing 330 by 52, we get 6 with a remainder of 18.
The number 6 becomes the next digit in our result. 
Result so far: 796.0
Subtracting 312 from 330 leaves us with 18.
Bring next digit (6) of the dividend behind the 18 and repeat the process: 186 / 52

Moving on to step 6:
If we divide 186 by 52, we get 3 and a remainder of 30.
Put 3 as the next digit of the answer. 
Result so far: 7963.0
Subtracting 156 from 186 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 7:
52 goes into 300 5 times with a remainder of 40.
Record the quotient 5 as the next digit in the result. 
Result so far: 7963.5
Subtract 260 from 300 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 8:
52 can be fit into 400 7 times, resulting in a remainder of 36.
The next digit of our result is 7. 
Result so far: 7963.57
The remainder is 36 after subtracting 364 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 9:
The number 52 fits into 360 6 times, leaving a remainder of 48.
Record the quotient 6 as the next digit in the result. 
Result so far: 7963.576
Subtracting 312 from 360 leaves us with 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 10:
When dividing 480 by 52, we get 9 with a remainder of 12.
Use 9 as the next digit of our solution. 
Result so far: 7963.5769
If we subtract 468 from 480, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 11:
52 goes into 120 2 times with a remainder of 16.
The number 2 becomes the next digit in our result. 
Result so far: 7963.57692
Deduct 104 from 120 and we're left 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.

On to step 12:
The number 52 fits into 160 3 times, leaving a remainder of 4.
The next digit of our result is 3. 
Result so far: 7963.576923
Deduct 156 from 160 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 13:
52 can be fit into 40 0 times, resulting in a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 7963.576923
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 14:
52 can be fit into 400 7 times, resulting in a remainder of 36.
Put 7 as the next digit of the answer. 
Result so far: 7963.57692307
The remainder is 36 after subtracting 364 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

The final result is 7963.57692307 with a remainder of 3.6e-08.