We're dividing 221354 by 13 
We want to divide 221354 by 13.

Step 1:
The number 13 fits into 2 0 times, leaving a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Fetch the next digit (2) from the dividend, attach it to 2 and continue: 22 / 13

Advancing to step 2:
13 goes into 22 1 times with a remainder of 9.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 13 from 22, we get 9.
Grab the next digit (1) from the dividend, add it to 9, then carry on: 91 / 13

On to step 3:
If we divide 91 by 13, we get 7 and a remainder of 0.
Record the quotient 7 as the next digit in the result. 
Result so far: 17.0
Deduct 91 from 91 and we're left with 0.
Bring next digit (3) of the dividend behind the 0 and repeat the process: 3 / 13

Let's proceed to step 4:
The number 13 fits into 3 0 times, leaving a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 170.0
The remainder is 3 after subtracting 0 from 3.
Fetch the next digit (5) from the dividend, attach it to 3 and continue: 35 / 13

Step 5:
13 goes into 35 2 times with a remainder of 9.
Write down 2 as next digit of the result. 
Result so far: 1702.0
Subtracting 26 from 35 leaves us with 9.
Bring next digit (4) of the dividend behind the 9 and repeat the process: 94 / 13

Advancing to step 6:
94 divided by 13 is 7 with a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 17027.0
Deduct 91 from 94 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 7:
If we divide 30 by 13, we get 2 and a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 17027.2
The remainder is 4 after subtracting 26 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 8:
When dividing 40 by 13, we get 3 with a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 17027.23
If we take 39 away from 40, we end up 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.

Going ahead to step 9:
13 can be fit into 10 0 times, resulting in a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 17027.23
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.

Let's proceed to step 10:
The number 13 fits into 100 7 times, leaving a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 17027.2307
If we take 91 away from 100, we end up 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.

Step 11:
If we divide 90 by 13, we get 6 and a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 17027.23076
If we subtract 78 from 90, 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.

Advancing to step 12:
13 can be fit into 120 9 times, resulting in a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 17027.230769
If we take 117 away from 120, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 13:
The number 13 fits into 30 2 times, leaving a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 17027.2307692
The remainder is 4 after subtracting 26 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 14:
The number 13 fits into 40 3 times, leaving a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 17027.23076923
Subtracting 39 from 40 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.

The final outcome is 17027.23076923, with a leftover of 1e-09.