681779 divided by 45 
We're looking to find how many times 45 goes into 681779.

Step 1:
45 goes into 6 0 times with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Bring next digit (8) of the dividend behind the 6 and repeat the process: 68 / 45

Let's proceed to step 2:
45 goes into 68 1 times with a remainder of 23.
The next digit of our result is 1. 
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

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.
Append the next digit (7) from the dividend to 6 and continue with: 67 / 45

On to step 4:
67 divided by 45 is 1 with a remainder of 22.
Write down 1 as next digit of the result. 
Result so far: 151.0
Deduct 45 from 67 and we're left with 22.
Append the next digit (7) from the dividend to 22 and continue with: 227 / 45

On to step 5:
227 divided by 45 is 5 with a remainder of 2.
Record the quotient 5 as the next digit in the result. 
Result so far: 1515.0
Subtracting 225 from 227 leaves us with 2.
Include the next digit (9) from the dividend after 2, then repeat: 29 / 45

Going ahead to step 6:
45 goes into 29 0 times with a remainder of 29.
Record the quotient 0 as the next digit in the result. 
Result so far: 15150.0
The remainder is 29 after subtracting 0 from 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

On to step 7:
45 can be fit into 290 6 times, resulting in a remainder of 20.
Record the quotient 6 as the next digit in the result. 
Result so far: 15150.6
If we subtract 270 from 290, 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.

Going ahead to step 8:
45 can be fit into 200 4 times, resulting in a remainder of 20.
Record the quotient 4 as the next digit in the result. 
Result so far: 15150.64
Deduct 180 from 200 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 9:
45 can be fit into 200 4 times, resulting in a remainder of 20.
Write down 4 as next digit of the result. 
Result so far: 15150.644
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 outcome is 15150.644, with a leftover of 0.002.