Let's divide 17642 by 10
We're looking to find how many times 10 goes into 17642.

On to step 1:
The number 10 fits into 1 0 times, leaving a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 10

Step 2:
When dividing 17 by 10, we get 1 with a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 10 from 17 leaves us with 7.
Append the next digit (6) from the dividend to 7 and continue with: 76 / 10

Step 3:
10 can be fit into 76 7 times, resulting in a remainder of 6.
Put 7 as the next digit of the answer. 
Result so far: 17.0
If we subtract 70 from 76, we get 6.
Include the next digit (4) from the dividend after 6, then repeat: 64 / 10

On to step 4:
10 can be fit into 64 6 times, resulting in a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 176.0
Subtract 60 from 64 to get 4.
Take the next digit (2) from the dividend and append it to 4, then repeat: 42 / 10

Let's proceed to step 5:
10 can be fit into 42 4 times, resulting in a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 1764.0
If we subtract 40 from 42, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 6:
10 goes into 20 2 times with a remainder of 0.
The next digit of our result is 2. 
Result so far: 1764.2
If we take 20 away from 20, 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.

Moving on to step 7:
10 can be fit into 0 0 times, resulting in a remainder of 0.
The next digit of our result is 0. 
Result so far: 1764.2
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.

On to step 8:
10 goes into 0 0 times with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 1764.2
If we subtract 0 from 0, we 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.

Our division results in 1764.2 with a remaining 0.0.