We divide 21501 by 13
We're looking to find how many times 13 goes into 21501.

Moving on to step 1:
13 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 13

Let's proceed to step 2:
13 can be fit into 21 1 times, resulting in a remainder of 8.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 13 from 21 and we're left with 8.
Fetch the next digit (5) from the dividend, attach it to 8 and continue: 85 / 13

Moving on to step 3:
85 divided by 13 is 6 with a remainder of 7.
The next digit of our result is 6. 
Result so far: 16.0
If we take 78 away from 85, we end up with 7.
Include the next digit (0) from the dividend after 7, then repeat: 70 / 13

Moving on to step 4:
When dividing 70 by 13, we get 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 165.0
If we take 65 away from 70, we end up with 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 13

Let's proceed to step 5:
13 can be fit into 51 3 times, resulting in a remainder of 12.
The number 3 becomes the next digit in our result. 
Result so far: 1653.0
Subtract 39 from 51 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 6:
The number 13 fits into 120 9 times, leaving a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 1653.9
If we subtract 117 from 120, we 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 7:
13 can be fit into 30 2 times, resulting in a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 1653.92
If we subtract 26 from 30, we get 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 8:
When dividing 40 by 13, we get 3 with a remainder of 1.
The next digit of our result is 3. 
Result so far: 1653.923
The remainder is 1 after subtracting 39 from 40.
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 9:
13 goes into 10 0 times with a remainder of 10.
The next digit of our result is 0. 
Result so far: 1653.923
Deduct 0 from 10 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.

Advancing to step 10:
When dividing 100 by 13, we get 7 with a remainder of 9.
The next digit of our result is 7. 
Result so far: 1653.92307
Subtracting 91 from 100 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.

Let's proceed to step 11:
If we divide 90 by 13, we get 6 and a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 1653.923076
If we subtract 78 from 90, we get 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 12:
120 divided by 13 is 9 with a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 1653.9230769
Deduct 117 from 120 and we're left 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.

Advancing to step 13:
The number 13 fits into 30 2 times, leaving a remainder of 4.
The next digit of our result is 2. 
Result so far: 1653.92307692
Subtracting 26 from 30 leaves us 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.

The quotient of the division is 1653.92307692, and the remainder is 4e-09.