Let's divide 777821 by 17
Our goal is to divide 777821 by 17.

Moving on to step 1:
17 can be fit into 7 0 times, resulting in a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Grab the next digit (7) from the dividend, add it to 7, then carry on: 77 / 17

Advancing to step 2:
The number 17 fits into 77 4 times, leaving a remainder of 9.
The next digit of our result is 4. 
Result so far: 4.0
If we subtract 68 from 77, we get 9.
Append the next digit (7) from the dividend to 9 and continue with: 97 / 17

Going ahead to step 3:
The number 17 fits into 97 5 times, leaving a remainder of 12.
Use 5 as the next digit of our solution. 
Result so far: 45.0
Subtracting 85 from 97 leaves us with 12.
Append the next digit (8) from the dividend to 12 and continue with: 128 / 17

Advancing to step 4:
17 goes into 128 7 times with a remainder of 9.
The next digit of our result is 7. 
Result so far: 457.0
Deduct 119 from 128 and we're left with 9.
Append the next digit (2) from the dividend to 9 and continue with: 92 / 17

Moving on to step 5:
17 goes into 92 5 times with a remainder of 7.
The next digit of our result is 5. 
Result so far: 4575.0
Subtract 85 from 92 to get 7.
Append the next digit (1) from the dividend to 7 and continue with: 71 / 17

Step 6:
If we divide 71 by 17, we get 4 and a remainder of 3.
Use 4 as the next digit of our solution. 
Result so far: 45754.0
Deduct 68 from 71 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.

Step 7:
The number 17 fits into 30 1 times, leaving a remainder of 13.
The number 1 becomes the next digit in our result. 
Result so far: 45754.1
If we take 17 away from 30, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 8:
When dividing 130 by 17, we get 7 with a remainder of 11.
Put 7 as the next digit of the answer. 
Result so far: 45754.17
The remainder is 11 after subtracting 119 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 9:
17 goes into 110 6 times with a remainder of 8.
Record the quotient 6 as the next digit in the result. 
Result so far: 45754.176
If we subtract 102 from 110, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 10:
The number 17 fits into 80 4 times, leaving a remainder of 12.
Write down 4 as next digit of the result. 
Result so far: 45754.1764
If we take 68 away from 80, 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.

On to step 11:
17 goes into 120 7 times with a remainder of 1.
The next digit of our result is 7. 
Result so far: 45754.17647
The remainder is 1 after subtracting 119 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 12:
10 divided by 17 is 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 45754.17647
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 13:
The number 17 fits into 100 5 times, leaving a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 45754.1764705
The remainder is 15 after subtracting 85 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 14:
17 goes into 150 8 times with a remainder of 14.
The next digit of our result is 8. 
Result so far: 45754.17647058
Subtract 136 from 150 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

The quotient of the division is 45754.17647058, and the remainder is 1.4e-08.