677066 ÷ 45 
We want to divide 677066 by 45.

Advancing to step 1:
When dividing 6 by 45, we get 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Grab the next digit (7) from the dividend, add it to 6, then carry on: 67 / 45

Advancing to step 2:
The number 45 fits into 67 1 times, leaving a remainder of 22.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 22 after subtracting 45 from 67.
Bring next digit (7) of the dividend behind the 22 and repeat the process: 227 / 45

Moving on to step 3:
If we divide 227 by 45, we get 5 and a remainder of 2.
Record the quotient 5 as the next digit in the result. 
Result so far: 15.0
If we take 225 away from 227, we end up with 2.
Include the next digit (0) from the dividend after 2, then repeat: 20 / 45

Advancing to step 4:
If we divide 20 by 45, we get 0 and a remainder of 20.
The next digit of our result is 0. 
Result so far: 150.0
If we take 0 away from 20, we end up with 20.
Bring next digit (6) of the dividend behind the 20 and repeat the process: 206 / 45

Step 5:
When dividing 206 by 45, we get 4 with a remainder of 26.
Record the quotient 4 as the next digit in the result. 
Result so far: 1504.0
Deduct 180 from 206 and we're left with 26.
Take the next digit (6) from the dividend and append it to 26, then repeat: 266 / 45

Advancing to step 6:
If we divide 266 by 45, we get 5 and a remainder of 41.
Write down 5 as next digit of the result. 
Result so far: 15045.0
If we take 225 away from 266, we end up with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Moving on to step 7:
If we divide 410 by 45, we get 9 and a remainder of 5.
The number 9 becomes the next digit in our result. 
Result so far: 15045.9
If we subtract 405 from 410, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 8:
The number 45 fits into 50 1 times, leaving a remainder of 5.
Record the quotient 1 as the next digit in the result. 
Result so far: 15045.91
If we subtract 45 from 50, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 9:
When dividing 50 by 45, we get 1 with a remainder of 5.
Put 1 as the next digit of the answer. 
Result so far: 15045.911
Deduct 45 from 50 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The final outcome is 15045.911, with a leftover of 0.0005.