565653 ÷ 45 
We want to divide 565653 by 45.

On to step 1:
If we divide 5 by 45, we get 0 and a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Include the next digit (6) from the dividend after 5, then repeat: 56 / 45

Advancing to step 2:
45 can be fit into 56 1 times, resulting in a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 45 from 56 to get 11.
Append the next digit (5) from the dividend to 11 and continue with: 115 / 45

Advancing to step 3:
45 goes into 115 2 times with a remainder of 25.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
Subtracting 90 from 115 leaves us with 25.
Bring next digit (6) of the dividend behind the 25 and repeat the process: 256 / 45

Moving on to step 4:
The number 45 fits into 256 5 times, leaving a remainder of 31.
Record the quotient 5 as the next digit in the result. 
Result so far: 125.0
Subtract 225 from 256 to get 31.
Grab the next digit (5) from the dividend, add it to 31, then carry on: 315 / 45

Let's proceed to step 5:
315 divided by 45 is 7 with a remainder of 0.
Put 7 as the next digit of the answer. 
Result so far: 1257.0
Subtracting 315 from 315 leaves us with 0.
Take the next digit (3) from the dividend and append it to 0, then repeat: 3 / 45

Step 6:
When dividing 3 by 45, we get 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 12570.0
If we subtract 0 from 3, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 7:
30 divided by 45 is 0 with a remainder of 30.
The next digit of our result is 0. 
Result so far: 12570.0
Subtract 0 from 30 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 8:
The number 45 fits into 300 6 times, leaving a remainder of 30.
Put 6 as the next digit of the answer. 
Result so far: 12570.06
Subtracting 270 from 300 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 9:
If we divide 300 by 45, we get 6 and a remainder of 30.
Record the quotient 6 as the next digit in the result. 
Result so far: 12570.066
If we take 270 away from 300, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

The quotient of the division is 12570.066, and the remainder is 0.003.