We look at the division of 361628 by 13 
We want to figure out the number of times 361628 can be divided by 13.

Step 1:
3 divided by 13 is 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Include the next digit (6) from the dividend after 3, then repeat: 36 / 13

Step 2:
13 goes into 36 2 times with a remainder of 10.
Write down 2 as next digit of the result. 
Result so far: 2.0
The remainder is 10 after subtracting 26 from 36.
Take the next digit (1) from the dividend and append it to 10, then repeat: 101 / 13

Advancing to step 3:
101 divided by 13 is 7 with a remainder of 10.
Record the quotient 7 as the next digit in the result. 
Result so far: 27.0
Deduct 91 from 101 and we're left with 10.
Grab the next digit (6) from the dividend, add it to 10, then carry on: 106 / 13

Going ahead to step 4:
106 divided by 13 is 8 with a remainder of 2.
The next digit of our result is 8. 
Result so far: 278.0
Subtract 104 from 106 to get 2.
Take the next digit (2) from the dividend and append it to 2, then repeat: 22 / 13

Step 5:
13 goes into 22 1 times with a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 2781.0
The remainder is 9 after subtracting 13 from 22.
Fetch the next digit (8) from the dividend, attach it to 9 and continue: 98 / 13

Step 6:
When dividing 98 by 13, we get 7 with a remainder of 7.
Record the quotient 7 as the next digit in the result. 
Result so far: 27817.0
If we subtract 91 from 98, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 7:
The number 13 fits into 70 5 times, leaving a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 27817.5
The remainder is 5 after subtracting 65 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 8:
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: 27817.53
If we take 39 away from 50, we end up with 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 9:
If we divide 110 by 13, we get 8 and a remainder of 6.
The next digit of our result is 8. 
Result so far: 27817.538
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.

On to step 10:
If we divide 60 by 13, we get 4 and a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 27817.5384
Subtract 52 from 60 to get 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 11:
80 divided by 13 is 6 with a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 27817.53846
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.

On to step 12:
20 divided by 13 is 1 with a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 27817.538461
The remainder is 7 after subtracting 13 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 13:
When dividing 70 by 13, we get 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 27817.5384615
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.

Let's proceed to step 14:
50 divided by 13 is 3 with a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 27817.53846153
Deduct 39 from 50 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

The final result is 27817.53846153 with a remainder of 1.1e-08.