We look at the division of 15417824 by 642 
We're looking to find how many times 642 goes into 15417824.

Going ahead to step 1:
If we divide 1 by 642, we get 0 and a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 642

Going ahead to step 2:
When dividing 15 by 642, we get 0 with a remainder of 15.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 15 to get 15.
Include the next digit (4) from the dividend after 15, then repeat: 154 / 642

Let's proceed to step 3:
When dividing 154 by 642, we get 0 with a remainder of 154.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 154, we end up with 154.
Include the next digit (1) from the dividend after 154, then repeat: 1541 / 642

Step 4:
1541 divided by 642 is 2 with a remainder of 257.
The next digit of our result is 2. 
Result so far: 2.0
The remainder is 257 after subtracting 1284 from 1541.
Take the next digit (7) from the dividend and append it to 257, then repeat: 2577 / 642

Let's proceed to step 5:
2577 divided by 642 is 4 with a remainder of 9.
The number 4 becomes the next digit in our result. 
Result so far: 24.0
The remainder is 9 after subtracting 2568 from 2577.
Append the next digit (8) from the dividend to 9 and continue with: 98 / 642

Moving on to step 6:
If we divide 98 by 642, we get 0 and a remainder of 98.
The next digit of our result is 0. 
Result so far: 240.0
If we subtract 0 from 98, we get 98.
Bring next digit (2) of the dividend behind the 98 and repeat the process: 982 / 642

Going ahead to step 7:
When dividing 982 by 642, we get 1 with a remainder of 340.
The next digit of our result is 1. 
Result so far: 2401.0
Deduct 642 from 982 and we're left with 340.
Include the next digit (4) from the dividend after 340, then repeat: 3404 / 642

On to step 8:
The number 642 fits into 3404 5 times, leaving a remainder of 194.
Record the quotient 5 as the next digit in the result. 
Result so far: 24015.0
If we subtract 3210 from 3404, we get 194.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1940, and continue the process.

Let's proceed to step 9:
When dividing 1940 by 642, we get 3 with a remainder of 14.
Use 3 as the next digit of our solution. 
Result so far: 24015.3
If we subtract 1926 from 1940, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 10:
642 can be fit into 140 0 times, resulting in a remainder of 140.
Put 0 as the next digit of the answer. 
Result so far: 24015.3
Deduct 0 from 140 and we're left with 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1400, and continue the process.

Moving on to step 11:
642 goes into 1400 2 times with a remainder of 116.
Put 2 as the next digit of the answer. 
Result so far: 24015.302
If we subtract 1284 from 1400, we get 116.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1160, and continue the process.

Let's proceed to step 12:
642 can be fit into 1160 1 times, resulting in a remainder of 518.
The next digit of our result is 1. 
Result so far: 24015.3021
Subtract 642 from 1160 to get 518.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5180, and continue the process.

Going ahead to step 13:
642 goes into 5180 8 times with a remainder of 44.
Write down 8 as next digit of the result. 
Result so far: 24015.30218
Subtracting 5136 from 5180 leaves us with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Let's proceed to step 14:
If we divide 440 by 642, we get 0 and a remainder of 440.
Record the quotient 0 as the next digit in the result. 
Result so far: 24015.30218
The remainder is 440 after subtracting 0 from 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4400, and continue the process.

Let's proceed to step 15:
The number 642 fits into 4400 6 times, leaving a remainder of 548.
Use 6 as the next digit of our solution. 
Result so far: 24015.3021806
Subtract 3852 from 4400 to get 548.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5480, and continue the process.

Advancing to step 16:
If we divide 5480 by 642, we get 8 and a remainder of 344.
The next digit of our result is 8. 
Result so far: 24015.30218068
Subtract 5136 from 5480 to get 344.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3440, and continue the process.

Our division results in 24015.30218068 with a remaining 3.44e-07.