473873 ÷ 13 
Our goal is to divide 473873 by 13.

On to step 1:
When dividing 4 by 13, we get 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Include the next digit (7) from the dividend after 4, then repeat: 47 / 13

Moving on to step 2:
47 divided by 13 is 3 with a remainder of 8.
Write down 3 as next digit of the result. 
Result so far: 3.0
Subtracting 39 from 47 leaves us with 8.
Include the next digit (3) from the dividend after 8, then repeat: 83 / 13

On to step 3:
13 can be fit into 83 6 times, resulting in a remainder of 5.
Write down 6 as next digit of the result. 
Result so far: 36.0
If we take 78 away from 83, we end up with 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 13

Step 4:
58 divided by 13 is 4 with a remainder of 6.
The next digit of our result is 4. 
Result so far: 364.0
If we take 52 away from 58, we end up with 6.
Grab the next digit (7) from the dividend, add it to 6, then carry on: 67 / 13

On to step 5:
The number 13 fits into 67 5 times, leaving a remainder of 2.
Use 5 as the next digit of our solution. 
Result so far: 3645.0
Deduct 65 from 67 and we're left with 2.
Fetch the next digit (3) from the dividend, attach it to 2 and continue: 23 / 13

Step 6:
If we divide 23 by 13, we get 1 and a remainder of 10.
Record the quotient 1 as the next digit in the result. 
Result so far: 36451.0
Deduct 13 from 23 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 7:
The number 13 fits into 100 7 times, leaving a remainder of 9.
The next digit of our result is 7. 
Result so far: 36451.7
If we subtract 91 from 100, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 8:
The number 13 fits into 90 6 times, leaving a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 36451.76
Subtracting 78 from 90 leaves us 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.

Let's proceed to step 9:
13 can be fit into 120 9 times, resulting in a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 36451.769
Subtracting 117 from 120 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 10:
If we divide 30 by 13, we get 2 and a remainder of 4.
The next digit of our result is 2. 
Result so far: 36451.7692
Deduct 26 from 30 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 11:
When dividing 40 by 13, we get 3 with a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 36451.76923
Subtracting 39 from 40 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 12:
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: 36451.76923
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 13:
100 divided by 13 is 7 with a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 36451.7692307
Subtract 91 from 100 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 14:
The number 13 fits into 90 6 times, leaving a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 36451.76923076
Subtracting 78 from 90 leaves us 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.

Our division results in 36451.76923076 with a remaining 1.2e-08.