We're dividing 126513 by 22 
We're looking to find how many times 22 goes into 126513.

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
Deduct 0 from 1 and we're left with 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 22

Let's proceed to step 2:
12 divided by 22 is 0 with a remainder of 12.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 12 after subtracting 0 from 12.
Append the next digit (6) from the dividend to 12 and continue with: 126 / 22

Let's proceed to step 3:
When dividing 126 by 22, we get 5 with a remainder of 16.
Put 5 as the next digit of the answer. 
Result so far: 5.0
Subtract 110 from 126 to get 16.
Bring next digit (5) of the dividend behind the 16 and repeat the process: 165 / 22

On to step 4:
22 goes into 165 7 times with a remainder of 11.
Write down 7 as next digit of the result. 
Result so far: 57.0
The remainder is 11 after subtracting 154 from 165.
Include the next digit (1) from the dividend after 11, then repeat: 111 / 22

Moving on to step 5:
The number 22 fits into 111 5 times, leaving a remainder of 1.
Record the quotient 5 as the next digit in the result. 
Result so far: 575.0
If we subtract 110 from 111, we get 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 22

Going ahead to step 6:
When dividing 13 by 22, we get 0 with a remainder of 13.
The next digit of our result is 0. 
Result so far: 5750.0
If we subtract 0 from 13, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 7:
22 can be fit into 130 5 times, resulting in a remainder of 20.
Record the quotient 5 as the next digit in the result. 
Result so far: 5750.5
Subtracting 110 from 130 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.

Moving on to step 8:
22 can be fit into 200 9 times, resulting in a remainder of 2.
Record the quotient 9 as the next digit in the result. 
Result so far: 5750.59
Subtracting 198 from 200 leaves us 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.

Advancing to step 9:
22 goes into 20 0 times with a remainder of 20.
The next digit of our result is 0. 
Result so far: 5750.59
Deduct 0 from 20 and we're left 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.

On to step 10:
22 goes into 200 9 times with a remainder of 2.
Write down 9 as next digit of the result. 
Result so far: 5750.5909
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.

On to step 11:
22 can be fit into 20 0 times, resulting in a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 5750.5909
Deduct 0 from 20 and we're left 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.

Step 12:
200 divided by 22 is 9 with a remainder of 2.
Put 9 as the next digit of the answer. 
Result so far: 5750.590909
Subtract 198 from 200 to 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.

On to step 13:
When dividing 20 by 22, we get 0 with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 5750.590909
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.

On to step 14:
200 divided by 22 is 9 with a remainder of 2.
Put 9 as the next digit of the answer. 
Result so far: 5750.59090909
Subtract 198 from 200 to 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.

The final result is 5750.59090909 with a remainder of 2e-09.