We look at the division of 13377 by 22 
We're looking to find how many times 22 goes into 13377.

Let's proceed to step 1:
22 goes into 1 0 times with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 22

Advancing to step 2:
If we divide 13 by 22, we get 0 and a remainder of 13.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 13, we get 13.
Fetch the next digit (3) from the dividend, attach it to 13 and continue: 133 / 22

Let's proceed to step 3:
If we divide 133 by 22, we get 6 and a remainder of 1.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Deduct 132 from 133 and we're left with 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 22

Step 4:
17 divided by 22 is 0 with a remainder of 17.
The number 0 becomes the next digit in our result. 
Result so far: 60.0
The remainder is 17 after subtracting 0 from 17.
Append the next digit (7) from the dividend to 17 and continue with: 177 / 22

Going ahead to step 5:
When dividing 177 by 22, we get 8 with a remainder of 1.
The next digit of our result is 8. 
Result so far: 608.0
Deduct 176 from 177 and we're left 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.

Let's proceed to step 6:
When dividing 10 by 22, we get 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 608.0
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 7:
22 goes into 100 4 times with a remainder of 12.
Use 4 as the next digit of our solution. 
Result so far: 608.04
Deduct 88 from 100 and we're left 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.

Moving on to step 8:
22 can be fit into 120 5 times, resulting in a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 608.045
Deduct 110 from 120 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.

On to step 9:
22 goes into 100 4 times with a remainder of 12.
Put 4 as the next digit of the answer. 
Result so far: 608.0454
If we subtract 88 from 100, 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 10:
120 divided by 22 is 5 with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 608.04545
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.

Step 11:
If we divide 100 by 22, we get 4 and a remainder of 12.
The next digit of our result is 4. 
Result so far: 608.045454
If we take 88 away from 100, 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.

Advancing to step 12:
22 can be fit into 120 5 times, resulting in a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 608.0454545
The remainder is 10 after subtracting 110 from 120.
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:
If we divide 100 by 22, we get 4 and a remainder of 12.
The number 4 becomes the next digit in our result. 
Result so far: 608.04545454
If we subtract 88 from 100, 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.

The final outcome is 608.04545454, with a leftover of 1.2e-08.