We're dividing 645953 by 10 
Let's see how many times 10 fits into 645953.

Step 1:
When dividing 6 by 10, we get 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Grab the next digit (4) from the dividend, add it to 6, then carry on: 64 / 10

Step 2:
When dividing 64 by 10, we get 6 with a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 6.0
Deduct 60 from 64 and we're left with 4.
Append the next digit (5) from the dividend to 4 and continue with: 45 / 10

Let's proceed to step 3:
45 divided by 10 is 4 with a remainder of 5.
The next digit of our result is 4. 
Result so far: 64.0
The remainder is 5 after subtracting 40 from 45.
Bring next digit (9) of the dividend behind the 5 and repeat the process: 59 / 10

Advancing to step 4:
59 divided by 10 is 5 with a remainder of 9.
Write down 5 as next digit of the result. 
Result so far: 645.0
Deduct 50 from 59 and we're left with 9.
Include the next digit (5) from the dividend after 9, then repeat: 95 / 10

On to step 5:
10 can be fit into 95 9 times, resulting in a remainder of 5.
Use 9 as the next digit of our solution. 
Result so far: 6459.0
If we take 90 away from 95, we end up with 5.
Grab the next digit (3) from the dividend, add it to 5, then carry on: 53 / 10

Advancing to step 6:
53 divided by 10 is 5 with a remainder of 3.
Put 5 as the next digit of the answer. 
Result so far: 64595.0
Subtracting 50 from 53 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 7:
If we divide 30 by 10, we get 3 and a remainder of 0.
Record the quotient 3 as the next digit in the result. 
Result so far: 64595.3
The remainder is 0 after subtracting 30 from 30.
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 8:
The number 10 fits into 0 0 times, leaving a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 64595.3
Subtracting 0 from 0 leaves us 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 9:
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: 64595.3
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.

The final outcome is 64595.3, with a leftover of 0.0.