We look at the division of 105210 by 10 
We want to figure out the number of times 105210 can be divided by 10.

Advancing to step 1:
If we divide 1 by 10, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 10

Moving on to step 2:
If we divide 10 by 10, we get 1 and a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 0 after subtracting 10 from 10.
Append the next digit (5) from the dividend to 0 and continue with: 5 / 10

On to step 3:
10 goes into 5 0 times with a remainder of 5.
The next digit of our result is 0. 
Result so far: 10.0
Subtracting 0 from 5 leaves us with 5.
Append the next digit (2) from the dividend to 5 and continue with: 52 / 10

Step 4:
10 goes into 52 5 times with a remainder of 2.
Record the quotient 5 as the next digit in the result. 
Result so far: 105.0
If we subtract 50 from 52, we get 2.
Include the next digit (1) from the dividend after 2, then repeat: 21 / 10

Moving on to step 5:
10 goes into 21 2 times with a remainder of 1.
Use 2 as the next digit of our solution. 
Result so far: 1052.0
The remainder is 1 after subtracting 20 from 21.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 10

On to step 6:
10 goes into 10 1 times with a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 10521.0
Deduct 10 from 10 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 7:
0 divided by 10 is 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 10521.0
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.

Moving on to step 8:
If we divide 0 by 10, we get 0 and a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 10521.0
If we take 0 away from 0, 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.

Our division results in 10521.0 with a remaining 0.0.