681713 divided by 45 
We want to figure out the number of times 681713 can be divided by 45.

Advancing to step 1:
45 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Grab the next digit (8) from the dividend, add it to 6, then carry on: 68 / 45

Step 2:
If we divide 68 by 45, we get 1 and a remainder of 23.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 23 after subtracting 45 from 68.
Append the next digit (1) from the dividend to 23 and continue with: 231 / 45

Going ahead to step 3:
When dividing 231 by 45, we get 5 with a remainder of 6.
Put 5 as the next digit of the answer. 
Result so far: 15.0
If we subtract 225 from 231, we get 6.
Fetch the next digit (7) from the dividend, attach it to 6 and continue: 67 / 45

On to step 4:
45 goes into 67 1 times with a remainder of 22.
Write down 1 as next digit of the result. 
Result so far: 151.0
Subtracting 45 from 67 leaves us with 22.
Grab the next digit (1) from the dividend, add it to 22, then carry on: 221 / 45

Step 5:
The number 45 fits into 221 4 times, leaving a remainder of 41.
The next digit of our result is 4. 
Result so far: 1514.0
The remainder is 41 after subtracting 180 from 221.
Take the next digit (3) from the dividend and append it to 41, then repeat: 413 / 45

Advancing to step 6:
413 divided by 45 is 9 with a remainder of 8.
The number 9 becomes the next digit in our result. 
Result so far: 15149.0
The remainder is 8 after subtracting 405 from 413.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 7:
When dividing 80 by 45, we get 1 with a remainder of 35.
Record the quotient 1 as the next digit in the result. 
Result so far: 15149.1
If we take 45 away from 80, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 8:
The number 45 fits into 350 7 times, leaving a remainder of 35.
Put 7 as the next digit of the answer. 
Result so far: 15149.17
Subtract 315 from 350 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 9:
When dividing 350 by 45, we get 7 with a remainder of 35.
The number 7 becomes the next digit in our result. 
Result so far: 15149.177
Subtract 315 from 350 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

In conclusion, the division gives 15149.177 with a balance of 0.0035.