We're dividing 681922 by 45 
We want to figure out the number of times 681922 can be divided by 45.

Going ahead to step 1:
6 divided by 45 is 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Take the next digit (8) from the dividend and append it to 6, then repeat: 68 / 45

Going ahead to step 2:
The number 45 fits into 68 1 times, leaving a remainder of 23.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 45 away from 68, we end up with 23.
Take the next digit (1) from the dividend and append it to 23, then repeat: 231 / 45

Advancing to step 3:
If we divide 231 by 45, we get 5 and a remainder of 6.
Record the quotient 5 as the next digit in the result. 
Result so far: 15.0
The remainder is 6 after subtracting 225 from 231.
Grab the next digit (9) from the dividend, add it to 6, then carry on: 69 / 45

Going ahead to step 4:
When dividing 69 by 45, we get 1 with a remainder of 24.
Put 1 as the next digit of the answer. 
Result so far: 151.0
If we subtract 45 from 69, we get 24.
Bring next digit (2) of the dividend behind the 24 and repeat the process: 242 / 45

Moving on to step 5:
45 goes into 242 5 times with a remainder of 17.
Write down 5 as next digit of the result. 
Result so far: 1515.0
The remainder is 17 after subtracting 225 from 242.
Include the next digit (2) from the dividend after 17, then repeat: 172 / 45

Moving on to step 6:
If we divide 172 by 45, we get 3 and a remainder of 37.
Write down 3 as next digit of the result. 
Result so far: 15153.0
If we take 135 away from 172, we end up with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Advancing to step 7:
If we divide 370 by 45, we get 8 and a remainder of 10.
Put 8 as the next digit of the answer. 
Result so far: 15153.8
Subtract 360 from 370 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 8:
When dividing 100 by 45, we get 2 with a remainder of 10.
The next digit of our result is 2. 
Result so far: 15153.82
Subtract 90 from 100 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 9:
100 divided by 45 is 2 with a remainder of 10.
Use 2 as the next digit of our solution. 
Result so far: 15153.822
Deduct 90 from 100 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

In conclusion, the division gives 15153.822 with a balance of 0.001.