105205 ÷ 22 
We want to divide 105205 by 22.

Moving on to step 1:
22 goes into 1 0 times with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 22

Moving on to step 2:
If we divide 10 by 22, we get 0 and a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Grab the next digit (5) from the dividend, add it to 10, then carry on: 105 / 22

Let's proceed to step 3:
The number 22 fits into 105 4 times, leaving a remainder of 17.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Subtract 88 from 105 to get 17.
Bring next digit (2) of the dividend behind the 17 and repeat the process: 172 / 22

Let's proceed to step 4:
The number 22 fits into 172 7 times, leaving a remainder of 18.
The number 7 becomes the next digit in our result. 
Result so far: 47.0
Subtract 154 from 172 to get 18.
Bring next digit (0) of the dividend behind the 18 and repeat the process: 180 / 22

Going ahead to step 5:
If we divide 180 by 22, we get 8 and a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 478.0
The remainder is 4 after subtracting 176 from 180.
Bring next digit (5) of the dividend behind the 4 and repeat the process: 45 / 22

On to step 6:
When dividing 45 by 22, we get 2 with a remainder of 1.
Use 2 as the next digit of our solution. 
Result so far: 4782.0
Subtracting 44 from 45 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 7:
The number 22 fits into 10 0 times, leaving a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 4782.0
Subtract 0 from 10 to get 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 8:
If we divide 100 by 22, we get 4 and a remainder of 12.
Record the quotient 4 as the next digit in the result. 
Result so far: 4782.04
Subtract 88 from 100 to 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.

Going ahead to step 9:
22 goes into 120 5 times with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 4782.045
Subtract 110 from 120 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 10:
100 divided by 22 is 4 with a remainder of 12.
Write down 4 as next digit of the result. 
Result so far: 4782.0454
Subtract 88 from 100 to 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.

Step 11:
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: 4782.04545
Subtract 110 from 120 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 12:
22 goes into 100 4 times with a remainder of 12.
The next digit of our result is 4. 
Result so far: 4782.045454
Subtracting 88 from 100 leaves us 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.

Let's proceed to step 13:
22 can be fit into 120 5 times, resulting in a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 4782.0454545
Subtracting 110 from 120 leaves us 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 14:
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: 4782.04545454
The remainder is 12 after subtracting 88 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The final outcome is 4782.04545454, with a leftover of 1.2e-08.