646657 divided by 45 
Our goal is to divide 646657 by 45.

Going ahead to step 1:
45 goes into 6 0 times with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Take the next digit (4) from the dividend and append it to 6, then repeat: 64 / 45

Going ahead to step 2:
If we divide 64 by 45, we get 1 and a remainder of 19.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 45 from 64 to get 19.
Grab the next digit (6) from the dividend, add it to 19, then carry on: 196 / 45

On to step 3:
The number 45 fits into 196 4 times, leaving a remainder of 16.
Write down 4 as next digit of the result. 
Result so far: 14.0
The remainder is 16 after subtracting 180 from 196.
Append the next digit (6) from the dividend to 16 and continue with: 166 / 45

Advancing to step 4:
166 divided by 45 is 3 with a remainder of 31.
Put 3 as the next digit of the answer. 
Result so far: 143.0
If we subtract 135 from 166, we get 31.
Append the next digit (5) from the dividend to 31 and continue with: 315 / 45

On to step 5:
45 can be fit into 315 7 times, resulting in a remainder of 0.
Write down 7 as next digit of the result. 
Result so far: 1437.0
Deduct 315 from 315 and we're left with 0.
Include the next digit (7) from the dividend after 0, then repeat: 7 / 45

Step 6:
45 can be fit into 7 0 times, resulting in a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 14370.0
Subtracting 0 from 7 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 7:
When dividing 70 by 45, we get 1 with a remainder of 25.
Put 1 as the next digit of the answer. 
Result so far: 14370.1
If we subtract 45 from 70, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 8:
The number 45 fits into 250 5 times, leaving a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 14370.15
Deduct 225 from 250 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 9:
When dividing 250 by 45, we get 5 with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 14370.155
Deduct 225 from 250 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

The final result is 14370.155 with a remainder of 0.0025.