We look at the division of 77817 by 22 
We're looking to find how many times 22 goes into 77817.

Let's proceed to step 1:
The number 22 fits into 7 0 times, leaving a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Take the next digit (7) from the dividend and append it to 7, then repeat: 77 / 22

Going ahead to step 2:
If we divide 77 by 22, we get 3 and a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 3.0
If we subtract 66 from 77, we get 11.
Grab the next digit (8) from the dividend, add it to 11, then carry on: 118 / 22

Let's proceed to step 3:
When dividing 118 by 22, we get 5 with a remainder of 8.
Write down 5 as next digit of the result. 
Result so far: 35.0
If we subtract 110 from 118, we get 8.
Include the next digit (1) from the dividend after 8, then repeat: 81 / 22

On to step 4:
When dividing 81 by 22, we get 3 with a remainder of 15.
Write down 3 as next digit of the result. 
Result so far: 353.0
Subtracting 66 from 81 leaves us with 15.
Append the next digit (7) from the dividend to 15 and continue with: 157 / 22

Moving on to step 5:
When dividing 157 by 22, we get 7 with a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 3537.0
If we subtract 154 from 157, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 6:
22 goes into 30 1 times with a remainder of 8.
Put 1 as the next digit of the answer. 
Result so far: 3537.1
Subtract 22 from 30 to 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.

On to step 7:
22 goes into 80 3 times with a remainder of 14.
Write down 3 as next digit of the result. 
Result so far: 3537.13
Subtract 66 from 80 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.

Going ahead to step 8:
When dividing 140 by 22, we get 6 with a remainder of 8.
Record the quotient 6 as the next digit in the result. 
Result so far: 3537.136
If we take 132 away from 140, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 9:
80 divided by 22 is 3 with a remainder of 14.
Record the quotient 3 as the next digit in the result. 
Result so far: 3537.1363
If we take 66 away from 80, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 10:
When dividing 140 by 22, we get 6 with a remainder of 8.
The next digit of our result is 6. 
Result so far: 3537.13636
The remainder is 8 after subtracting 132 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 11:
The number 22 fits into 80 3 times, leaving a remainder of 14.
Use 3 as the next digit of our solution. 
Result so far: 3537.136363
The remainder is 14 after subtracting 66 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 12:
If we divide 140 by 22, we get 6 and a remainder of 8.
The number 6 becomes the next digit in our result. 
Result so far: 3537.1363636
Deduct 132 from 140 and we're left with 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 13:
The number 22 fits into 80 3 times, leaving a remainder of 14.
Use 3 as the next digit of our solution. 
Result so far: 3537.13636363
The remainder is 14 after subtracting 66 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

The final result is 3537.13636363 with a remainder of 1.4e-08.