We look at the division of 254421 by 13 
We want to divide 254421 by 13.

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 (5) from the dividend to 2 and continue with: 25 / 13

Advancing to step 2:
13 goes into 25 1 times with a remainder of 12.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 13 from 25 to get 12.
Take the next digit (4) from the dividend and append it to 12, then repeat: 124 / 13

Advancing to step 3:
If we divide 124 by 13, we get 9 and a remainder of 7.
Record the quotient 9 as the next digit in the result. 
Result so far: 19.0
If we take 117 away from 124, we end up with 7.
Fetch the next digit (4) from the dividend, attach it to 7 and continue: 74 / 13

Step 4:
74 divided by 13 is 5 with a remainder of 9.
The number 5 becomes the next digit in our result. 
Result so far: 195.0
Subtract 65 from 74 to get 9.
Grab the next digit (2) from the dividend, add it to 9, then carry on: 92 / 13

Advancing to step 5:
If we divide 92 by 13, we get 7 and a remainder of 1.
The next digit of our result is 7. 
Result so far: 1957.0
The remainder is 1 after subtracting 91 from 92.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 13

Moving on to step 6:
When dividing 11 by 13, we get 0 with a remainder of 11.
Use 0 as the next digit of our solution. 
Result so far: 19570.0
If we take 0 away from 11, 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 7:
When dividing 110 by 13, we get 8 with a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 19570.8
Subtract 104 from 110 to 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.

Advancing to step 8:
13 goes into 60 4 times with a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 19570.84
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.

Let's proceed to step 9:
The number 13 fits into 80 6 times, leaving a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 19570.846
Subtracting 78 from 80 leaves us 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.

Advancing to step 10:
When dividing 20 by 13, we get 1 with a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 19570.8461
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 11:
13 goes into 70 5 times with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 19570.84615
Subtracting 65 from 70 leaves us 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 12:
The number 13 fits into 50 3 times, leaving a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 19570.846153
Subtracting 39 from 50 leaves us 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.

On to step 13:
When dividing 110 by 13, we get 8 with a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 19570.8461538
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.

On to step 14:
60 divided by 13 is 4 with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 19570.84615384
If we subtract 52 from 60, we 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.

In conclusion, the division gives 19570.84615384 with a balance of 8e-09.