495167 ÷ 13 
Our goal is to divide 495167 by 13.

On to step 1:
13 can be fit into 4 0 times, resulting in 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.
Bring next digit (9) of the dividend behind the 4 and repeat the process: 49 / 13

On to step 2:
The number 13 fits into 49 3 times, leaving a remainder of 10.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
If we take 39 away from 49, we end up with 10.
Fetch the next digit (5) from the dividend, attach it to 10 and continue: 105 / 13

Advancing to step 3:
105 divided by 13 is 8 with a remainder of 1.
The number 8 becomes the next digit in our result. 
Result so far: 38.0
Subtracting 104 from 105 leaves us with 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 13

Moving on to step 4:
13 can be fit into 11 0 times, resulting in a remainder of 11.
Write down 0 as next digit of the result. 
Result so far: 380.0
Deduct 0 from 11 and we're left with 11.
Include the next digit (6) from the dividend after 11, then repeat: 116 / 13

Advancing to step 5:
When dividing 116 by 13, we get 8 with a remainder of 12.
The next digit of our result is 8. 
Result so far: 3808.0
If we subtract 104 from 116, we get 12.
Take the next digit (7) from the dividend and append it to 12, then repeat: 127 / 13

Going ahead to step 6:
13 goes into 127 9 times with a remainder of 10.
Use 9 as the next digit of our solution. 
Result so far: 38089.0
If we subtract 117 from 127, 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.

On to step 7:
100 divided by 13 is 7 with a remainder of 9.
The next digit of our result is 7. 
Result so far: 38089.7
If we take 91 away from 100, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 8:
13 can be fit into 90 6 times, resulting in a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 38089.76
The remainder is 12 after subtracting 78 from 90.
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:
When dividing 120 by 13, we get 9 with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 38089.769
The remainder is 3 after subtracting 117 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 10:
13 can be fit into 30 2 times, resulting in a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 38089.7692
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.

On to step 11:
13 can be fit into 40 3 times, resulting in a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 38089.76923
Subtract 39 from 40 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 12:
If we divide 10 by 13, we get 0 and a remainder of 10.
The next digit of our result is 0. 
Result so far: 38089.76923
Subtract 0 from 10 to 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:
13 can be fit into 100 7 times, resulting in a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 38089.7692307
Deduct 91 from 100 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 14:
13 goes into 90 6 times with a remainder of 12.
The next digit of our result is 6. 
Result so far: 38089.76923076
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 38089.76923076 with a remaining 1.2e-08.