We look at the division of 6427424 by 128 
We want to figure out the number of times 6427424 can be divided by 128.

Advancing to step 1:
128 goes into 6 0 times with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Grab the next digit (4) from the dividend, add it to 6, then carry on: 64 / 128

On to step 2:
The number 128 fits into 64 0 times, leaving a remainder of 64.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 64 to get 64.
Fetch the next digit (2) from the dividend, attach it to 64 and continue: 642 / 128

Let's proceed to step 3:
If we divide 642 by 128, we get 5 and a remainder of 2.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Deduct 640 from 642 and we're left with 2.
Grab the next digit (7) from the dividend, add it to 2, then carry on: 27 / 128

Advancing to step 4:
128 goes into 27 0 times with a remainder of 27.
The number 0 becomes the next digit in our result. 
Result so far: 50.0
Subtract 0 from 27 to get 27.
Grab the next digit (4) from the dividend, add it to 27, then carry on: 274 / 128

Let's proceed to step 5:
When dividing 274 by 128, we get 2 with a remainder of 18.
The next digit of our result is 2. 
Result so far: 502.0
The remainder is 18 after subtracting 256 from 274.
Take the next digit (2) from the dividend and append it to 18, then repeat: 182 / 128

Step 6:
The number 128 fits into 182 1 times, leaving a remainder of 54.
The number 1 becomes the next digit in our result. 
Result so far: 5021.0
Subtract 128 from 182 to get 54.
Take the next digit (4) from the dividend and append it to 54, then repeat: 544 / 128

Let's proceed to step 7:
When dividing 544 by 128, we get 4 with a remainder of 32.
The next digit of our result is 4. 
Result so far: 50214.0
The remainder is 32 after subtracting 512 from 544.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 8:
128 can be fit into 320 2 times, resulting in a remainder of 64.
The number 2 becomes the next digit in our result. 
Result so far: 50214.2
Subtract 256 from 320 to get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

On to step 9:
128 goes into 640 5 times with a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 50214.25
If we take 640 away from 640, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 10:
0 divided by 128 is 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 50214.25
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 11:
128 can be fit into 0 0 times, resulting in a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 50214.25
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 50214.25 with a remainder of 0.0.