656126 divided by 45 
Our goal is to divide 656126 by 45.

Step 1:
6 divided by 45 is 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Bring next digit (5) of the dividend behind the 6 and repeat the process: 65 / 45

Advancing to step 2:
The number 45 fits into 65 1 times, leaving a remainder of 20.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 20 after subtracting 45 from 65.
Grab the next digit (6) from the dividend, add it to 20, then carry on: 206 / 45

Going ahead to step 3:
45 can be fit into 206 4 times, resulting in a remainder of 26.
Record the quotient 4 as the next digit in the result. 
Result so far: 14.0
If we subtract 180 from 206, we get 26.
Take the next digit (1) from the dividend and append it to 26, then repeat: 261 / 45

Advancing to step 4:
If we divide 261 by 45, we get 5 and a remainder of 36.
Record the quotient 5 as the next digit in the result. 
Result so far: 145.0
If we subtract 225 from 261, we get 36.
Include the next digit (2) from the dividend after 36, then repeat: 362 / 45

Going ahead to step 5:
362 divided by 45 is 8 with a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 1458.0
Deduct 360 from 362 and we're left with 2.
Fetch the next digit (6) from the dividend, attach it to 2 and continue: 26 / 45

Going ahead to step 6:
26 divided by 45 is 0 with a remainder of 26.
The number 0 becomes the next digit in our result. 
Result so far: 14580.0
If we take 0 away from 26, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 7:
260 divided by 45 is 5 with a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 14580.5
Deduct 225 from 260 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 8:
350 divided by 45 is 7 with a remainder of 35.
Record the quotient 7 as the next digit in the result. 
Result so far: 14580.57
The remainder is 35 after subtracting 315 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 9:
45 can be fit into 350 7 times, resulting in a remainder of 35.
Put 7 as the next digit of the answer. 
Result so far: 14580.577
If we subtract 315 from 350, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

The quotient of the division is 14580.577, and the remainder is 0.0035.