419412 ÷ 51 
We want to figure out the number of times 419412 can be divided by 51.

On to step 1:
If we divide 4 by 51, we get 0 and a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 51

Advancing to step 2:
51 goes into 41 0 times with 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.
Fetch the next digit (9) from the dividend, attach it to 41 and continue: 419 / 51

Advancing to step 3:
When dividing 419 by 51, we get 8 with a remainder of 11.
Use 8 as the next digit of our solution. 
Result so far: 8.0
If we take 408 away from 419, we end up with 11.
Append the next digit (4) from the dividend to 11 and continue with: 114 / 51

Let's proceed to step 4:
51 goes into 114 2 times with a remainder of 12.
The next digit of our result is 2. 
Result so far: 82.0
If we subtract 102 from 114, we get 12.
Append the next digit (1) from the dividend to 12 and continue with: 121 / 51

Let's proceed to step 5:
51 can be fit into 121 2 times, resulting in a remainder of 19.
Record the quotient 2 as the next digit in the result. 
Result so far: 822.0
Subtract 102 from 121 to get 19.
Append the next digit (2) from the dividend to 19 and continue with: 192 / 51

Advancing to step 6:
51 can be fit into 192 3 times, resulting in a remainder of 39.
The next digit of our result is 3. 
Result so far: 8223.0
If we take 153 away from 192, we end up with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

On to step 7:
The number 51 fits into 390 7 times, leaving a remainder of 33.
Write down 7 as next digit of the result. 
Result so far: 8223.7
The remainder is 33 after subtracting 357 from 390.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

On to step 8:
The number 51 fits into 330 6 times, leaving a remainder of 24.
The next digit of our result is 6. 
Result so far: 8223.76
Subtracting 306 from 330 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 9:
When dividing 240 by 51, we get 4 with a remainder of 36.
Put 4 as the next digit of the answer. 
Result so far: 8223.764
If we subtract 204 from 240, we 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.

Advancing to step 10:
When dividing 360 by 51, we get 7 with a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 8223.7647
Subtracting 357 from 360 leaves us 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 11:
When dividing 30 by 51, we get 0 with a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 8223.7647
Subtracting 0 from 30 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.

Advancing to step 12:
When dividing 300 by 51, we get 5 with a remainder of 45.
Use 5 as the next digit of our solution. 
Result so far: 8223.764705
Subtract 255 from 300 to get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Going ahead to step 13:
51 can be fit into 450 8 times, resulting in a remainder of 42.
The number 8 becomes the next digit in our result. 
Result so far: 8223.7647058
If we take 408 away from 450, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Going ahead to step 14:
51 can be fit into 420 8 times, resulting in a remainder of 12.
Record the quotient 8 as the next digit in the result. 
Result so far: 8223.76470588
Deduct 408 from 420 and we're left 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 8223.76470588, and the remainder is 1.2e-08.