We're dividing 489198 by 13 
We want to figure out the number of times 489198 can be divided by 13.

Step 1:
13 goes into 4 0 times with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Include the next digit (8) from the dividend after 4, then repeat: 48 / 13

Advancing to step 2:
The number 13 fits into 48 3 times, leaving a remainder of 9.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Subtract 39 from 48 to get 9.
Append the next digit (9) from the dividend to 9 and continue with: 99 / 13

On to step 3:
If we divide 99 by 13, we get 7 and a remainder of 8.
The number 7 becomes the next digit in our result. 
Result so far: 37.0
The remainder is 8 after subtracting 91 from 99.
Take the next digit (1) from the dividend and append it to 8, then repeat: 81 / 13

Let's proceed to step 4:
If we divide 81 by 13, we get 6 and a remainder of 3.
Put 6 as the next digit of the answer. 
Result so far: 376.0
Subtract 78 from 81 to get 3.
Fetch the next digit (9) from the dividend, attach it to 3 and continue: 39 / 13

Moving on to step 5:
If we divide 39 by 13, we get 3 and a remainder of 0.
Use 3 as the next digit of our solution. 
Result so far: 3763.0
If we take 39 away from 39, we end up with 0.
Fetch the next digit (8) from the dividend, attach it to 0 and continue: 8 / 13

Step 6:
When dividing 8 by 13, we get 0 with a remainder of 8.
The next digit of our result is 0. 
Result so far: 37630.0
If we take 0 away from 8, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 7:
80 divided by 13 is 6 with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 37630.6
If we take 78 away from 80, 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.

Step 8:
13 goes into 20 1 times with a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 37630.61
Subtracting 13 from 20 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 9:
If we divide 70 by 13, we get 5 and a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 37630.615
If we subtract 65 from 70, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 10:
If we divide 50 by 13, we get 3 and a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 37630.6153
Subtract 39 from 50 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 11:
The number 13 fits into 110 8 times, leaving a remainder of 6.
The next digit of our result is 8. 
Result so far: 37630.61538
If we take 104 away from 110, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 12:
When dividing 60 by 13, we get 4 with a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 37630.615384
Deduct 52 from 60 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 13:
When dividing 80 by 13, we get 6 with a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 37630.6153846
If we subtract 78 from 80, we 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.

Moving on to step 14:
20 divided by 13 is 1 with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 37630.61538461
Deduct 13 from 20 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

In conclusion, the division gives 37630.61538461 with a balance of 7e-09.