670591 ÷ 45 
We want to divide 670591 by 45.

Advancing to step 1:
6 divided by 45 is 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Take the next digit (7) from the dividend and append it to 6, then repeat: 67 / 45

Advancing to step 2:
67 divided by 45 is 1 with a remainder of 22.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 45 from 67 to get 22.
Take the next digit (0) from the dividend and append it to 22, then repeat: 220 / 45

On to step 3:
If we divide 220 by 45, we get 4 and a remainder of 40.
Write down 4 as next digit of the result. 
Result so far: 14.0
Deduct 180 from 220 and we're left with 40.
Append the next digit (5) from the dividend to 40 and continue with: 405 / 45

Advancing to step 4:
45 can be fit into 405 9 times, resulting in a remainder of 0.
Write down 9 as next digit of the result. 
Result so far: 149.0
The remainder is 0 after subtracting 405 from 405.
Take the next digit (9) from the dividend and append it to 0, then repeat: 9 / 45

Going ahead to step 5:
When dividing 9 by 45, we get 0 with a remainder of 9.
The next digit of our result is 0. 
Result so far: 1490.0
Subtract 0 from 9 to get 9.
Bring next digit (1) of the dividend behind the 9 and repeat the process: 91 / 45

Step 6:
91 divided by 45 is 2 with a remainder of 1.
The next digit of our result is 2. 
Result so far: 14902.0
Subtracting 90 from 91 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 7:
45 goes into 10 0 times with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 14902.0
If we take 0 away from 10, we end up 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.

Going ahead to step 8:
When dividing 100 by 45, we get 2 with a remainder of 10.
Write down 2 as next digit of the result. 
Result so far: 14902.02
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.

Advancing to step 9:
The number 45 fits into 100 2 times, leaving a remainder of 10.
Write down 2 as next digit of the result. 
Result so far: 14902.022
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.

After the division, we end up with 14902.022 and a remainder of 0.001.