We divide 508768 by 45
We want to figure out the number of times 508768 can be divided by 45.

Step 1:
If we divide 5 by 45, we get 0 and a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Include the next digit (0) from the dividend after 5, then repeat: 50 / 45

Let's proceed to step 2:
The number 45 fits into 50 1 times, leaving a remainder of 5.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 45 from 50 to get 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 45

Let's proceed to step 3:
If we divide 58 by 45, we get 1 and a remainder of 13.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
If we take 45 away from 58, we end up with 13.
Fetch the next digit (7) from the dividend, attach it to 13 and continue: 137 / 45

Advancing to step 4:
When dividing 137 by 45, we get 3 with a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 113.0
Deduct 135 from 137 and we're left with 2.
Grab the next digit (6) from the dividend, add it to 2, then carry on: 26 / 45

Moving on to step 5:
If we divide 26 by 45, we get 0 and a remainder of 26.
Record the quotient 0 as the next digit in the result. 
Result so far: 1130.0
If we subtract 0 from 26, we get 26.
Append the next digit (8) from the dividend to 26 and continue with: 268 / 45

On to step 6:
If we divide 268 by 45, we get 5 and a remainder of 43.
Use 5 as the next digit of our solution. 
Result so far: 11305.0
If we take 225 away from 268, we end up with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Going ahead to step 7:
If we divide 430 by 45, we get 9 and a remainder of 25.
Record the quotient 9 as the next digit in the result. 
Result so far: 11305.9
Deduct 405 from 430 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 8:
45 goes into 250 5 times with a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 11305.95
Subtract 225 from 250 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 9:
45 goes into 250 5 times with a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 11305.955
Deduct 225 from 250 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

The quotient of the division is 11305.955, and the remainder is 0.0025.