We're dividing 296905 by 45 
We want to figure out the number of times 296905 can be divided by 45.

On to step 1:
45 can be fit into 2 0 times, resulting in a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Take the next digit (9) from the dividend and append it to 2, then repeat: 29 / 45

Moving on to step 2:
The number 45 fits into 29 0 times, leaving a remainder of 29.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 29 and we're left with 29.
Take the next digit (6) from the dividend and append it to 29, then repeat: 296 / 45

Moving on to step 3:
If we divide 296 by 45, we get 6 and a remainder of 26.
Put 6 as the next digit of the answer. 
Result so far: 6.0
If we subtract 270 from 296, we get 26.
Append the next digit (9) from the dividend to 26 and continue with: 269 / 45

On to step 4:
When dividing 269 by 45, we get 5 with a remainder of 44.
The number 5 becomes the next digit in our result. 
Result so far: 65.0
If we subtract 225 from 269, we get 44.
Include the next digit (0) from the dividend after 44, then repeat: 440 / 45

On to step 5:
If we divide 440 by 45, we get 9 and a remainder of 35.
Put 9 as the next digit of the answer. 
Result so far: 659.0
Subtract 405 from 440 to get 35.
Grab the next digit (5) from the dividend, add it to 35, then carry on: 355 / 45

Advancing to step 6:
The number 45 fits into 355 7 times, leaving a remainder of 40.
Use 7 as the next digit of our solution. 
Result so far: 6597.0
If we take 315 away from 355, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 7:
When dividing 400 by 45, we get 8 with a remainder of 40.
The number 8 becomes the next digit in our result. 
Result so far: 6597.8
Subtract 360 from 400 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 8:
45 goes into 400 8 times with a remainder of 40.
Record the quotient 8 as the next digit in the result. 
Result so far: 6597.88
Subtract 360 from 400 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

After the division, we end up with 6597.88 and a remainder of 0.04.