We look at the division of 682905 by 45 
We want to figure out the number of times 682905 can be divided by 45.

Let's proceed to step 1:
45 can be fit into 6 0 times, resulting in a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Fetch the next digit (8) from the dividend, attach it to 6 and continue: 68 / 45

Going ahead to step 2:
45 can be fit into 68 1 times, resulting in a remainder of 23.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 45 from 68 to get 23.
Take the next digit (2) from the dividend and append it to 23, then repeat: 232 / 45

Advancing to step 3:
When dividing 232 by 45, we get 5 with a remainder of 7.
Put 5 as the next digit of the answer. 
Result so far: 15.0
Deduct 225 from 232 and we're left with 7.
Fetch the next digit (9) from the dividend, attach it to 7 and continue: 79 / 45

On to step 4:
The number 45 fits into 79 1 times, leaving a remainder of 34.
Write down 1 as next digit of the result. 
Result so far: 151.0
Subtract 45 from 79 to get 34.
Grab the next digit (0) from the dividend, add it to 34, then carry on: 340 / 45

Moving on to step 5:
340 divided by 45 is 7 with a remainder of 25.
Record the quotient 7 as the next digit in the result. 
Result so far: 1517.0
Subtracting 315 from 340 leaves us with 25.
Take the next digit (5) from the dividend and append it to 25, then repeat: 255 / 45

Let's proceed to step 6:
The number 45 fits into 255 5 times, leaving a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 15175.0
If we take 225 away from 255, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 7:
45 can be fit into 300 6 times, resulting in a remainder of 30.
The next digit of our result is 6. 
Result so far: 15175.6
Subtracting 270 from 300 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 8:
When dividing 300 by 45, we get 6 with a remainder of 30.
Put 6 as the next digit of the answer. 
Result so far: 15175.66
The remainder is 30 after subtracting 270 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

The final outcome is 15175.66, with a leftover of 0.03.