15065 ÷ 22 
We want to divide 15065 by 22.

Going ahead to step 1:
22 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 22

Advancing to step 2:
22 can be fit into 15 0 times, resulting in a remainder of 15.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 15 leaves us with 15.
Fetch the next digit (0) from the dividend, attach it to 15 and continue: 150 / 22

Step 3:
When dividing 150 by 22, we get 6 with a remainder of 18.
The next digit of our result is 6. 
Result so far: 6.0
If we subtract 132 from 150, we get 18.
Grab the next digit (6) from the dividend, add it to 18, then carry on: 186 / 22

Going ahead to step 4:
If we divide 186 by 22, we get 8 and a remainder of 10.
The next digit of our result is 8. 
Result so far: 68.0
Deduct 176 from 186 and we're left with 10.
Bring next digit (5) of the dividend behind the 10 and repeat the process: 105 / 22

On to step 5:
105 divided by 22 is 4 with a remainder of 17.
Write down 4 as next digit of the result. 
Result so far: 684.0
Subtracting 88 from 105 leaves us with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 6:
22 goes into 170 7 times with a remainder of 16.
Put 7 as the next digit of the answer. 
Result so far: 684.7
If we take 154 away from 170, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 7:
160 divided by 22 is 7 with a remainder of 6.
Record the quotient 7 as the next digit in the result. 
Result so far: 684.77
If we subtract 154 from 160, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

After the division, we end up with 684.77 and a remainder of 0.006.