Let's divide 414121 by 66
We're looking to find how many times 66 goes into 414121.

On to step 1:
When dividing 4 by 66, we get 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 66

Advancing to step 2:
66 can be fit into 41 0 times, resulting in a remainder of 41.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 41 to get 41.
Append the next digit (4) from the dividend to 41 and continue with: 414 / 66

Let's proceed to step 3:
66 goes into 414 6 times with a remainder of 18.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Subtract 396 from 414 to get 18.
Grab the next digit (1) from the dividend, add it to 18, then carry on: 181 / 66

Let's proceed to step 4:
When dividing 181 by 66, we get 2 with a remainder of 49.
Put 2 as the next digit of the answer. 
Result so far: 62.0
If we take 132 away from 181, we end up with 49.
Bring next digit (2) of the dividend behind the 49 and repeat the process: 492 / 66

Let's proceed to step 5:
When dividing 492 by 66, we get 7 with a remainder of 30.
The next digit of our result is 7. 
Result so far: 627.0
Deduct 462 from 492 and we're left with 30.
Grab the next digit (1) from the dividend, add it to 30, then carry on: 301 / 66

Going ahead to step 6:
If we divide 301 by 66, we get 4 and a remainder of 37.
The next digit of our result is 4. 
Result so far: 6274.0
Subtract 264 from 301 to get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

On to step 7:
The number 66 fits into 370 5 times, leaving a remainder of 40.
The number 5 becomes the next digit in our result. 
Result so far: 6274.5
The remainder is 40 after subtracting 330 from 370.
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 8:
If we divide 400 by 66, we get 6 and a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 6274.56
If we take 396 away from 400, we end up 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.

On to step 9:
66 goes into 40 0 times with a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 6274.56
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.

On to step 10:
When dividing 400 by 66, we get 6 with a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 6274.5606
If we subtract 396 from 400, 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 11:
40 divided by 66 is 0 with a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 6274.5606
If we take 0 away from 40, we end up 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.

Advancing to step 12:
400 divided by 66 is 6 with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 6274.560606
Deduct 396 from 400 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.

Going ahead to step 13:
40 divided by 66 is 0 with a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 6274.560606
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.

Going ahead to step 14:
66 goes into 400 6 times with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 6274.56060606
The remainder is 4 after subtracting 396 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The final result is 6274.56060606 with a remainder of 4e-09.