We're dividing 681662 by 45 
Let's see how many times 45 fits into 681662.

On to step 1:
The number 45 fits into 6 0 times, leaving 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.
Bring next digit (8) of the dividend behind the 6 and repeat the process: 68 / 45

On to step 2:
68 divided by 45 is 1 with a remainder of 23.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 45 from 68 and we're left with 23.
Take the next digit (1) from the dividend and append it to 23, then repeat: 231 / 45

Moving on 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
Subtracting 225 from 231 leaves us with 6.
Include the next digit (6) from the dividend after 6, then repeat: 66 / 45

Let's proceed to step 4:
When dividing 66 by 45, we get 1 with a remainder of 21.
Use 1 as the next digit of our solution. 
Result so far: 151.0
Subtract 45 from 66 to get 21.
Grab the next digit (6) from the dividend, add it to 21, then carry on: 216 / 45

Moving on to step 5:
45 can be fit into 216 4 times, resulting in a remainder of 36.
The next digit of our result is 4. 
Result so far: 1514.0
If we subtract 180 from 216, we get 36.
Include the next digit (2) from the dividend after 36, then repeat: 362 / 45

Moving on to step 6:
When dividing 362 by 45, we get 8 with a remainder of 2.
The next digit of our result is 8. 
Result so far: 15148.0
Deduct 360 from 362 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 7:
When dividing 20 by 45, we get 0 with a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 15148.0
Deduct 0 from 20 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.

Going ahead to step 8:
45 goes into 200 4 times with a remainder of 20.
Put 4 as the next digit of the answer. 
Result so far: 15148.04
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.

Advancing to step 9:
When dividing 200 by 45, we get 4 with a remainder of 20.
Use 4 as the next digit of our solution. 
Result so far: 15148.044
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.

The quotient of the division is 15148.044, and the remainder is 0.002.