We divide 682706 by 45
We want to divide 682706 by 45.

Step 1:
If we divide 6 by 45, we get 0 and a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Grab the next digit (8) from the dividend, add it to 6, then carry on: 68 / 45

Going ahead to step 2:
The number 45 fits into 68 1 times, leaving a remainder of 23.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 45 from 68, we get 23.
Append the next digit (2) from the dividend to 23 and continue with: 232 / 45

Let's proceed to step 3:
45 goes into 232 5 times with a remainder of 7.
Use 5 as the next digit of our solution. 
Result so far: 15.0
The remainder is 7 after subtracting 225 from 232.
Take the next digit (7) from the dividend and append it to 7, then repeat: 77 / 45

Going ahead to step 4:
45 goes into 77 1 times with a remainder of 32.
The number 1 becomes the next digit in our result. 
Result so far: 151.0
The remainder is 32 after subtracting 45 from 77.
Fetch the next digit (0) from the dividend, attach it to 32 and continue: 320 / 45

On to step 5:
If we divide 320 by 45, we get 7 and a remainder of 5.
Put 7 as the next digit of the answer. 
Result so far: 1517.0
Subtract 315 from 320 to get 5.
Grab the next digit (6) from the dividend, add it to 5, then carry on: 56 / 45

Going ahead to step 6:
When dividing 56 by 45, we get 1 with a remainder of 11.
Record the quotient 1 as the next digit in the result. 
Result so far: 15171.0
If we subtract 45 from 56, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 7:
If we divide 110 by 45, we get 2 and a remainder of 20.
Write down 2 as next digit of the result. 
Result so far: 15171.2
Deduct 90 from 110 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 8:
200 divided by 45 is 4 with a remainder of 20.
Record the quotient 4 as the next digit in the result. 
Result so far: 15171.24
If we subtract 180 from 200, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 9:
45 goes into 200 4 times with a remainder of 20.
The number 4 becomes the next digit in our result. 
Result so far: 15171.244
Subtracting 180 from 200 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The final result is 15171.244 with a remainder of 0.002.