413664 ÷ 51 
We want to divide 413664 by 51.

Going ahead to step 1:
51 goes into 4 0 times with 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.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 51

On to step 2:
41 divided by 51 is 0 with a remainder of 41.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 41 to get 41.
Grab the next digit (3) from the dividend, add it to 41, then carry on: 413 / 51

Step 3:
If we divide 413 by 51, we get 8 and a remainder of 5.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Subtracting 408 from 413 leaves us with 5.
Append the next digit (6) from the dividend to 5 and continue with: 56 / 51

Let's proceed to step 4:
51 can be fit into 56 1 times, resulting in a remainder of 5.
Record the quotient 1 as the next digit in the result. 
Result so far: 81.0
If we subtract 51 from 56, we get 5.
Fetch the next digit (6) from the dividend, attach it to 5 and continue: 56 / 51

Step 5:
51 can be fit into 56 1 times, resulting in a remainder of 5.
Use 1 as the next digit of our solution. 
Result so far: 811.0
Deduct 51 from 56 and we're left with 5.
Bring next digit (4) of the dividend behind the 5 and repeat the process: 54 / 51

Going ahead to step 6:
When dividing 54 by 51, we get 1 with a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 8111.0
Deduct 51 from 54 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 7:
If we divide 30 by 51, we get 0 and a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 8111.0
The remainder is 30 after subtracting 0 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 8:
51 goes into 300 5 times with a remainder of 45.
Record the quotient 5 as the next digit in the result. 
Result so far: 8111.05
The remainder is 45 after subtracting 255 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Advancing to step 9:
51 goes into 450 8 times with a remainder of 42.
The next digit of our result is 8. 
Result so far: 8111.058
The remainder is 42 after subtracting 408 from 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 10:
When dividing 420 by 51, we get 8 with a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 8111.0588
If we take 408 away from 420, 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.

The quotient of the division is 8111.0588, and the remainder is 0.00012.