We look at the division of 398414 by 66 
Our goal is to divide 398414 by 66.

Let's proceed to step 1:
If we divide 3 by 66, we get 0 and a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Take the next digit (9) from the dividend and append it to 3, then repeat: 39 / 66

Let's proceed to step 2:
When dividing 39 by 66, we get 0 with a remainder of 39.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 39 and we're left with 39.
Bring next digit (8) of the dividend behind the 39 and repeat the process: 398 / 66

Step 3:
If we divide 398 by 66, we get 6 and a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Subtract 396 from 398 to get 2.
Fetch the next digit (4) from the dividend, attach it to 2 and continue: 24 / 66

On to step 4:
The number 66 fits into 24 0 times, leaving a remainder of 24.
Record the quotient 0 as the next digit in the result. 
Result so far: 60.0
If we subtract 0 from 24, we get 24.
Take the next digit (1) from the dividend and append it to 24, then repeat: 241 / 66

Advancing to step 5:
66 can be fit into 241 3 times, resulting in a remainder of 43.
The next digit of our result is 3. 
Result so far: 603.0
Deduct 198 from 241 and we're left with 43.
Take the next digit (4) from the dividend and append it to 43, then repeat: 434 / 66

Advancing to step 6:
When dividing 434 by 66, we get 6 with a remainder of 38.
The next digit of our result is 6. 
Result so far: 6036.0
Subtracting 396 from 434 leaves us 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.

Let's proceed to step 7:
When dividing 380 by 66, we get 5 with a remainder of 50.
The next digit of our result is 5. 
Result so far: 6036.5
If we take 330 away from 380, 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.

Advancing to step 8:
66 can be fit into 500 7 times, resulting in a remainder of 38.
The number 7 becomes the next digit in our result. 
Result so far: 6036.57
Subtracting 462 from 500 leaves us 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.

Let's proceed to step 9:
The number 66 fits into 380 5 times, leaving a remainder of 50.
The number 5 becomes the next digit in our result. 
Result so far: 6036.575
If we take 330 away from 380, 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.

Step 10:
66 goes into 500 7 times with a remainder of 38.
The number 7 becomes the next digit in our result. 
Result so far: 6036.5757
Subtracting 462 from 500 leaves us 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 11:
380 divided by 66 is 5 with a remainder of 50.
Put 5 as the next digit of the answer. 
Result so far: 6036.57575
The remainder is 50 after subtracting 330 from 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 12:
When dividing 500 by 66, we get 7 with a remainder of 38.
Record the quotient 7 as the next digit in the result. 
Result so far: 6036.575757
Subtracting 462 from 500 leaves us 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.

Going ahead to step 13:
If we divide 380 by 66, we get 5 and a remainder of 50.
Put 5 as the next digit of the answer. 
Result so far: 6036.5757575
If we take 330 away from 380, 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.

Let's proceed to step 14:
66 can be fit into 500 7 times, resulting in a remainder of 38.
Write down 7 as next digit of the result. 
Result so far: 6036.57575757
The remainder is 38 after subtracting 462 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Our division results in 6036.57575757 with a remaining 3.8e-08.