We're dividing 13498 by 44 
We're looking to find how many times 44 goes into 13498.

On to step 1:
The number 44 fits into 1 0 times, leaving 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.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 44

On to step 2:
When dividing 13 by 44, we get 0 with a remainder of 13.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 13 and we're left with 13.
Include the next digit (4) from the dividend after 13, then repeat: 134 / 44

Step 3:
The number 44 fits into 134 3 times, leaving a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 3.0
If we take 132 away from 134, we end up with 2.
Grab the next digit (9) from the dividend, add it to 2, then carry on: 29 / 44

Let's proceed to step 4:
If we divide 29 by 44, we get 0 and a remainder of 29.
The number 0 becomes the next digit in our result. 
Result so far: 30.0
Subtracting 0 from 29 leaves us with 29.
Fetch the next digit (8) from the dividend, attach it to 29 and continue: 298 / 44

Step 5:
The number 44 fits into 298 6 times, leaving a remainder of 34.
Write down 6 as next digit of the result. 
Result so far: 306.0
If we subtract 264 from 298, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 6:
44 can be fit into 340 7 times, resulting in a remainder of 32.
The next digit of our result is 7. 
Result so far: 306.7
Subtracting 308 from 340 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 7:
When dividing 320 by 44, we get 7 with a remainder of 12.
Use 7 as the next digit of our solution. 
Result so far: 306.77
If we take 308 away from 320, 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.

The final outcome is 306.77, with a leftover of 0.012.