We're dividing 274316 by 45 
We want to figure out the number of times 274316 can be divided by 45.

Moving on to step 1:
2 divided by 45 is 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 45

Moving on to step 2:
45 goes into 27 0 times with a remainder of 27.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 27, we get 27.
Append the next digit (4) from the dividend to 27 and continue with: 274 / 45

Let's proceed to step 3:
45 goes into 274 6 times with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtract 270 from 274 to get 4.
Grab the next digit (3) from the dividend, add it to 4, then carry on: 43 / 45

Let's proceed to step 4:
43 divided by 45 is 0 with a remainder of 43.
The next digit of our result is 0. 
Result so far: 60.0
Subtracting 0 from 43 leaves us with 43.
Include the next digit (1) from the dividend after 43, then repeat: 431 / 45

On to step 5:
45 goes into 431 9 times with a remainder of 26.
The number 9 becomes the next digit in our result. 
Result so far: 609.0
If we subtract 405 from 431, we get 26.
Grab the next digit (6) from the dividend, add it to 26, then carry on: 266 / 45

Going ahead to step 6:
45 goes into 266 5 times with a remainder of 41.
Use 5 as the next digit of our solution. 
Result so far: 6095.0
Deduct 225 from 266 and we're left with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Going ahead to step 7:
The number 45 fits into 410 9 times, leaving a remainder of 5.
The next digit of our result is 9. 
Result so far: 6095.9
Subtract 405 from 410 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 8:
45 goes into 50 1 times with a remainder of 5.
Write down 1 as next digit of the result. 
Result so far: 6095.91
If we take 45 away from 50, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 9:
If we divide 50 by 45, we get 1 and a remainder of 5.
Use 1 as the next digit of our solution. 
Result so far: 6095.911
The remainder is 5 after subtracting 45 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The quotient of the division is 6095.911, and the remainder is 0.0005.