105577 ÷ 22 
We want to divide 105577 by 22.

Let's proceed to step 1:
22 can be fit into 1 0 times, resulting in a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 22

Step 2:
22 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Grab the next digit (5) from the dividend, add it to 10, then carry on: 105 / 22

Let's proceed to step 3:
22 goes into 105 4 times with a remainder of 17.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
The remainder is 17 after subtracting 88 from 105.
Append the next digit (5) from the dividend to 17 and continue with: 175 / 22

Let's proceed to step 4:
If we divide 175 by 22, we get 7 and a remainder of 21.
Record the quotient 7 as the next digit in the result. 
Result so far: 47.0
Subtract 154 from 175 to get 21.
Append the next digit (7) from the dividend to 21 and continue with: 217 / 22

Advancing to step 5:
22 can be fit into 217 9 times, resulting in a remainder of 19.
Record the quotient 9 as the next digit in the result. 
Result so far: 479.0
If we subtract 198 from 217, we get 19.
Grab the next digit (7) from the dividend, add it to 19, then carry on: 197 / 22

Going ahead to step 6:
If we divide 197 by 22, we get 8 and a remainder of 21.
Record the quotient 8 as the next digit in the result. 
Result so far: 4798.0
The remainder is 21 after subtracting 176 from 197.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 7:
The number 22 fits into 210 9 times, leaving a remainder of 12.
Write down 9 as next digit of the result. 
Result so far: 4798.9
Deduct 198 from 210 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.

Step 8:
The number 22 fits into 120 5 times, leaving a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 4798.95
Deduct 110 from 120 and we're left 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.

Step 9:
When dividing 100 by 22, we get 4 with a remainder of 12.
The number 4 becomes the next digit in our result. 
Result so far: 4798.954
Deduct 88 from 100 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.

Going ahead to step 10:
The number 22 fits into 120 5 times, leaving a remainder of 10.
The next digit of our result is 5. 
Result so far: 4798.9545
If we take 110 away from 120, 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.

Step 11:
The number 22 fits into 100 4 times, leaving a remainder of 12.
The number 4 becomes the next digit in our result. 
Result so far: 4798.95454
If we subtract 88 from 100, we get 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 12:
120 divided by 22 is 5 with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 4798.954545
If we take 110 away from 120, 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:
22 can be fit into 100 4 times, resulting in a remainder of 12.
Use 4 as the next digit of our solution. 
Result so far: 4798.9545454
Deduct 88 from 100 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.

Advancing to step 14:
120 divided by 22 is 5 with a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 4798.95454545
If we take 110 away from 120, 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.

The final result is 4798.95454545 with a remainder of 1e-08.