We're dividing 19953 by 13 
We want to divide 19953 by 13.

Moving on to step 1:
13 can be fit into 1 0 times, resulting in a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Fetch the next digit (9) from the dividend, attach it to 1 and continue: 19 / 13

Going ahead to step 2:
When dividing 19 by 13, we get 1 with a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 6 after subtracting 13 from 19.
Grab the next digit (9) from the dividend, add it to 6, then carry on: 69 / 13

Moving on to step 3:
The number 13 fits into 69 5 times, leaving a remainder of 4.
Put 5 as the next digit of the answer. 
Result so far: 15.0
The remainder is 4 after subtracting 65 from 69.
Append the next digit (5) from the dividend to 4 and continue with: 45 / 13

Moving on to step 4:
If we divide 45 by 13, we get 3 and a remainder of 6.
Use 3 as the next digit of our solution. 
Result so far: 153.0
Deduct 39 from 45 and we're left with 6.
Grab the next digit (3) from the dividend, add it to 6, then carry on: 63 / 13

Advancing to step 5:
When dividing 63 by 13, we get 4 with a remainder of 11.
Record the quotient 4 as the next digit in the result. 
Result so far: 1534.0
Deduct 52 from 63 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.

Let's proceed to step 6:
13 can be fit into 110 8 times, resulting in a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 1534.8
If we subtract 104 from 110, we get 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 7:
13 can be fit into 60 4 times, resulting in a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 1534.84
Subtract 52 from 60 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 8:
80 divided by 13 is 6 with a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 1534.846
If we take 78 away from 80, we end up 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.

Step 9:
When dividing 20 by 13, we get 1 with a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 1534.8461
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 10:
70 divided by 13 is 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 1534.84615
The remainder is 5 after subtracting 65 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 11:
50 divided by 13 is 3 with a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 1534.846153
Subtract 39 from 50 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 12:
When dividing 110 by 13, we get 8 with a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 1534.8461538
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.

Going ahead to step 13:
60 divided by 13 is 4 with a remainder of 8.
The next digit of our result is 4. 
Result so far: 1534.84615384
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.

The quotient of the division is 1534.84615384, and the remainder is 8e-09.