We're dividing 103045 by 13 
We want to divide 103045 by 13.

Let's proceed to step 1:
If we divide 1 by 13, we get 0 and a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 13

Going ahead to step 2:
The number 13 fits into 10 0 times, leaving a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Append the next digit (3) from the dividend to 10 and continue with: 103 / 13

Let's proceed to step 3:
103 divided by 13 is 7 with a remainder of 12.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
Subtract 91 from 103 to get 12.
Append the next digit (0) from the dividend to 12 and continue with: 120 / 13

Advancing to step 4:
The number 13 fits into 120 9 times, leaving a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 79.0
Deduct 117 from 120 and we're left with 3.
Include the next digit (4) from the dividend after 3, then repeat: 34 / 13

On to step 5:
13 can be fit into 34 2 times, resulting in a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 792.0
If we subtract 26 from 34, we get 8.
Append the next digit (5) from the dividend to 8 and continue with: 85 / 13

Advancing to step 6:
85 divided by 13 is 6 with a remainder of 7.
The next digit of our result is 6. 
Result so far: 7926.0
Subtracting 78 from 85 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.

Going ahead to step 7:
13 can be fit into 70 5 times, resulting in a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 7926.5
Subtract 65 from 70 to 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.

Moving on to step 8:
13 can be fit into 50 3 times, resulting in a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 7926.53
Subtracting 39 from 50 leaves us 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.

Moving on to step 9:
13 can be fit into 110 8 times, resulting in a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 7926.538
Subtract 104 from 110 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 10:
The number 13 fits into 60 4 times, leaving a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 7926.5384
The remainder is 8 after subtracting 52 from 60.
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 11:
When dividing 80 by 13, we get 6 with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 7926.53846
Subtracting 78 from 80 leaves us 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 12:
20 divided by 13 is 1 with a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 7926.538461
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.

Moving on to step 13:
70 divided by 13 is 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 7926.5384615
If we take 65 away from 70, we end up with 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 14:
The number 13 fits into 50 3 times, leaving a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 7926.53846153
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.

After the division, we end up with 7926.53846153 and a remainder of 1.1e-08.