163653 ÷ 13 
We're looking to find how many times 13 goes into 163653.

Moving on 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
If we take 0 away from 1, we end up with 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 13

Going ahead to step 2:
If we divide 16 by 13, we get 1 and a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 3 after subtracting 13 from 16.
Take the next digit (3) from the dividend and append it to 3, then repeat: 33 / 13

Step 3:
13 can be fit into 33 2 times, resulting in a remainder of 7.
Use 2 as the next digit of our solution. 
Result so far: 12.0
Subtract 26 from 33 to get 7.
Bring next digit (6) of the dividend behind the 7 and repeat the process: 76 / 13

Let's proceed to step 4:
76 divided by 13 is 5 with a remainder of 11.
Use 5 as the next digit of our solution. 
Result so far: 125.0
If we take 65 away from 76, we end up with 11.
Include the next digit (5) from the dividend after 11, then repeat: 115 / 13

Going ahead to step 5:
13 can be fit into 115 8 times, resulting in a remainder of 11.
Write down 8 as next digit of the result. 
Result so far: 1258.0
Deduct 104 from 115 and we're left with 11.
Grab the next digit (3) from the dividend, add it to 11, then carry on: 113 / 13

Let's proceed to step 6:
The number 13 fits into 113 8 times, leaving a remainder of 9.
The number 8 becomes the next digit in our result. 
Result so far: 12588.0
Subtracting 104 from 113 leaves us 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.

Step 7:
When dividing 90 by 13, we get 6 with a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 12588.6
Deduct 78 from 90 and we're left 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 8:
13 can be fit into 120 9 times, resulting in a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 12588.69
Subtract 117 from 120 to get 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 9:
13 can be fit into 30 2 times, resulting in a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 12588.692
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.

Advancing to step 10:
When dividing 40 by 13, we get 3 with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 12588.6923
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.

Step 11:
The number 13 fits into 10 0 times, leaving a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 12588.6923
The remainder is 10 after subtracting 0 from 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 12:
13 goes into 100 7 times with a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 12588.692307
The remainder is 9 after subtracting 91 from 100.
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 13:
13 goes into 90 6 times with a remainder of 12.
The next digit of our result is 6. 
Result so far: 12588.6923076
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.

On to step 14:
The number 13 fits into 120 9 times, leaving a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 12588.69230769
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.

Our division results in 12588.69230769 with a remaining 3e-09.