We're dividing 45999 by 13 
We're looking to find how many times 13 goes into 45999.

On to step 1:
The number 13 fits into 4 0 times, leaving a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Fetch the next digit (5) from the dividend, attach it to 4 and continue: 45 / 13

On to step 2:
When dividing 45 by 13, we get 3 with a remainder of 6.
Write down 3 as next digit of the result. 
Result so far: 3.0
The remainder is 6 after subtracting 39 from 45.
Grab the next digit (9) from the dividend, add it to 6, then carry on: 69 / 13

Going ahead to step 3:
13 can be fit into 69 5 times, resulting in a remainder of 4.
Use 5 as the next digit of our solution. 
Result so far: 35.0
Subtracting 65 from 69 leaves us with 4.
Bring next digit (9) of the dividend behind the 4 and repeat the process: 49 / 13

Advancing to step 4:
49 divided by 13 is 3 with a remainder of 10.
The number 3 becomes the next digit in our result. 
Result so far: 353.0
If we take 39 away from 49, we end up with 10.
Include the next digit (9) from the dividend after 10, then repeat: 109 / 13

Going ahead to step 5:
If we divide 109 by 13, we get 8 and a remainder of 5.
Put 8 as the next digit of the answer. 
Result so far: 3538.0
Subtracting 104 from 109 leaves us 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.

Going ahead to step 6:
13 can be fit into 50 3 times, resulting in a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 3538.3
The remainder is 11 after subtracting 39 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 7:
The number 13 fits into 110 8 times, leaving a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 3538.38
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.

Let's proceed to step 8:
60 divided by 13 is 4 with a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 3538.384
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.

Advancing to step 9:
If we divide 80 by 13, we get 6 and a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 3538.3846
Subtract 78 from 80 to 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 10:
13 goes into 20 1 times with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 3538.38461
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.

Advancing to step 11:
13 goes into 70 5 times with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 3538.384615
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.

Step 12:
If we divide 50 by 13, we get 3 and a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 3538.3846153
The remainder is 11 after subtracting 39 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 13:
110 divided by 13 is 8 with a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 3538.38461538
Subtracting 104 from 110 leaves us 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.

The final result is 3538.38461538 with a remainder of 6e-09.