6424 divided by 254 
We're looking to find how many times 254 goes into 6424.

Let's proceed to step 1:
The number 254 fits into 6 0 times, leaving a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Append the next digit (4) from the dividend to 6 and continue with: 64 / 254

Going ahead to step 2:
254 goes into 64 0 times with a remainder of 64.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 64 and we're left with 64.
Bring next digit (2) of the dividend behind the 64 and repeat the process: 642 / 254

Moving on to step 3:
642 divided by 254 is 2 with a remainder of 134.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtract 508 from 642 to get 134.
Bring next digit (4) of the dividend behind the 134 and repeat the process: 1344 / 254

Going ahead to step 4:
254 goes into 1344 5 times with a remainder of 74.
The number 5 becomes the next digit in our result. 
Result so far: 25.0
Subtracting 1270 from 1344 leaves us with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Advancing to step 5:
The number 254 fits into 740 2 times, leaving a remainder of 232.
The next digit of our result is 2. 
Result so far: 25.2
If we take 508 away from 740, we end up with 232.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2320, and continue the process.

Moving on to step 6:
If we divide 2320 by 254, we get 9 and a remainder of 34.
Put 9 as the next digit of the answer. 
Result so far: 25.29
Subtract 2286 from 2320 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 7:
The number 254 fits into 340 1 times, leaving a remainder of 86.
The next digit of our result is 1. 
Result so far: 25.291
Deduct 254 from 340 and we're left with 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Advancing to step 8:
The number 254 fits into 860 3 times, leaving a remainder of 98.
The number 3 becomes the next digit in our result. 
Result so far: 25.2913
Deduct 762 from 860 and we're left with 98.
Since there are no more digits in the dividend, we add a zero to the remainder making it 980, and continue the process.

Step 9:
When dividing 980 by 254, we get 3 with a remainder of 218.
Use 3 as the next digit of our solution. 
Result so far: 25.29133
If we subtract 762 from 980, we get 218.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2180, and continue the process.

The final outcome is 25.29133, with a leftover of 0.000218.