153173 divided by 13 
Our goal is to divide 153173 by 13.

Going ahead to step 1:
1 divided by 13 is 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Append the next digit (5) from the dividend to 1 and continue with: 15 / 13

Let's proceed to step 2:
If we divide 15 by 13, we get 1 and a remainder of 2.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 2 after subtracting 13 from 15.
Fetch the next digit (3) from the dividend, attach it to 2 and continue: 23 / 13

Moving on to step 3:
23 divided by 13 is 1 with a remainder of 10.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
Subtracting 13 from 23 leaves us with 10.
Append the next digit (1) from the dividend to 10 and continue with: 101 / 13

Going ahead to step 4:
The number 13 fits into 101 7 times, leaving a remainder of 10.
The next digit of our result is 7. 
Result so far: 117.0
If we subtract 91 from 101, we get 10.
Fetch the next digit (7) from the dividend, attach it to 10 and continue: 107 / 13

Advancing to step 5:
When dividing 107 by 13, we get 8 with a remainder of 3.
Use 8 as the next digit of our solution. 
Result so far: 1178.0
Deduct 104 from 107 and we're left with 3.
Grab the next digit (3) from the dividend, add it to 3, then carry on: 33 / 13

Going ahead to step 6:
13 goes into 33 2 times with a remainder of 7.
Use 2 as the next digit of our solution. 
Result so far: 11782.0
If we subtract 26 from 33, 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.

Let's proceed to step 7:
If we divide 70 by 13, we get 5 and a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 11782.5
Deduct 65 from 70 and we're left 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 8:
The number 13 fits into 50 3 times, leaving a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 11782.53
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.

Let's proceed to step 9:
13 goes into 110 8 times with a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 11782.538
Deduct 104 from 110 and we're left 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.

Moving on to step 10:
60 divided by 13 is 4 with a remainder of 8.
The next digit of our result is 4. 
Result so far: 11782.5384
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.

Moving on to step 11:
80 divided by 13 is 6 with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 11782.53846
Deduct 78 from 80 and we're left 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.

Moving on to step 12:
The number 13 fits into 20 1 times, leaving a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 11782.538461
If we subtract 13 from 20, 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.

Advancing to step 13:
13 can be fit into 70 5 times, resulting in a remainder of 5.
The next digit of our result is 5. 
Result so far: 11782.5384615
Deduct 65 from 70 and we're left 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.

Step 14:
The number 13 fits into 50 3 times, leaving a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 11782.53846153
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 outcome is 11782.53846153, with a leftover of 1.1e-08.