We look at the division of 777577 by 22 
We want to figure out the number of times 777577 can be divided by 22.

Step 1:
When dividing 7 by 22, we get 0 with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 22

Moving on to step 2:
22 can be fit into 77 3 times, resulting in a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 3.0
Deduct 66 from 77 and we're left with 11.
Append the next digit (7) from the dividend to 11 and continue with: 117 / 22

Step 3:
If we divide 117 by 22, we get 5 and a remainder of 7.
The next digit of our result is 5. 
Result so far: 35.0
If we subtract 110 from 117, we get 7.
Take the next digit (5) from the dividend and append it to 7, then repeat: 75 / 22

Going ahead to step 4:
The number 22 fits into 75 3 times, leaving a remainder of 9.
Use 3 as the next digit of our solution. 
Result so far: 353.0
The remainder is 9 after subtracting 66 from 75.
Bring next digit (7) of the dividend behind the 9 and repeat the process: 97 / 22

On to step 5:
When dividing 97 by 22, we get 4 with a remainder of 9.
Write down 4 as next digit of the result. 
Result so far: 3534.0
Subtract 88 from 97 to get 9.
Include the next digit (7) from the dividend after 9, then repeat: 97 / 22

Moving on to step 6:
22 can be fit into 97 4 times, resulting in a remainder of 9.
The next digit of our result is 4. 
Result so far: 35344.0
Subtract 88 from 97 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 7:
If we divide 90 by 22, we get 4 and a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 35344.4
If we take 88 away from 90, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 8:
22 goes into 20 0 times with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 35344.4
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 9:
When dividing 200 by 22, we get 9 with a remainder of 2.
Record the quotient 9 as the next digit in the result. 
Result so far: 35344.409
The remainder is 2 after subtracting 198 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 10:
20 divided by 22 is 0 with a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 35344.409
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 11:
22 can be fit into 200 9 times, resulting in a remainder of 2.
The number 9 becomes the next digit in our result. 
Result so far: 35344.40909
If we take 198 away from 200, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 12:
The number 22 fits into 20 0 times, leaving a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 35344.40909
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 13:
The number 22 fits into 200 9 times, leaving a remainder of 2.
The number 9 becomes the next digit in our result. 
Result so far: 35344.4090909
If we subtract 198 from 200, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 14:
22 can be fit into 20 0 times, resulting in a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 35344.4090909
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The quotient of the division is 35344.4090909, and the remainder is 2e-08.