222674 ÷ 13 
We're looking to find how many times 13 goes into 222674.

On to step 1:
2 divided by 13 is 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Append the next digit (2) from the dividend to 2 and continue with: 22 / 13

Moving on to step 2:
13 goes into 22 1 times with a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 13 from 22 and we're left with 9.
Take the next digit (2) from the dividend and append it to 9, then repeat: 92 / 13

Going ahead to step 3:
If we divide 92 by 13, we get 7 and a remainder of 1.
The next digit of our result is 7. 
Result so far: 17.0
If we take 91 away from 92, we end up with 1.
Include the next digit (6) from the dividend after 1, then repeat: 16 / 13

On to step 4:
16 divided by 13 is 1 with a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 171.0
If we subtract 13 from 16, we get 3.
Grab the next digit (7) from the dividend, add it to 3, then carry on: 37 / 13

Step 5:
The number 13 fits into 37 2 times, leaving a remainder of 11.
The next digit of our result is 2. 
Result so far: 1712.0
Subtract 26 from 37 to get 11.
Take the next digit (4) from the dividend and append it to 11, then repeat: 114 / 13

Let's proceed to step 6:
If we divide 114 by 13, we get 8 and a remainder of 10.
Record the quotient 8 as the next digit in the result. 
Result so far: 17128.0
Deduct 104 from 114 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.

Going ahead to step 7:
13 can be fit into 100 7 times, resulting in a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 17128.7
Subtracting 91 from 100 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 8:
13 goes into 90 6 times with a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 17128.76
The remainder is 12 after subtracting 78 from 90.
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 9:
13 can be fit into 120 9 times, resulting in a remainder of 3.
The next digit of our result is 9. 
Result so far: 17128.769
If we subtract 117 from 120, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 10:
30 divided by 13 is 2 with a remainder of 4.
The next digit of our result is 2. 
Result so far: 17128.7692
Subtract 26 from 30 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 11:
13 can be fit into 40 3 times, resulting in a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 17128.76923
The remainder is 1 after subtracting 39 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 12:
13 goes into 10 0 times with a remainder of 10.
The next digit of our result is 0. 
Result so far: 17128.76923
Subtracting 0 from 10 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.

Moving on to step 13:
13 can be fit into 100 7 times, resulting in a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 17128.7692307
Deduct 91 from 100 and we're left with 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 14:
90 divided by 13 is 6 with a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 17128.76923076
If we take 78 away from 90, we end up 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.

After the division, we end up with 17128.76923076 and a remainder of 1.2e-08.