We look at the division of 309758 by 45 
We're looking to find how many times 45 goes into 309758.

Moving on to step 1:
The number 45 fits into 3 0 times, leaving a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Fetch the next digit (0) from the dividend, attach it to 3 and continue: 30 / 45

Advancing to step 2:
The number 45 fits into 30 0 times, leaving a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 30, we end up with 30.
Include the next digit (9) from the dividend after 30, then repeat: 309 / 45

Advancing to step 3:
45 can be fit into 309 6 times, resulting in a remainder of 39.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Subtract 270 from 309 to get 39.
Grab the next digit (7) from the dividend, add it to 39, then carry on: 397 / 45

Let's proceed to step 4:
When dividing 397 by 45, we get 8 with a remainder of 37.
Put 8 as the next digit of the answer. 
Result so far: 68.0
Subtract 360 from 397 to get 37.
Append the next digit (5) from the dividend to 37 and continue with: 375 / 45

Moving on to step 5:
375 divided by 45 is 8 with a remainder of 15.
Write down 8 as next digit of the result. 
Result so far: 688.0
Subtracting 360 from 375 leaves us with 15.
Bring next digit (8) of the dividend behind the 15 and repeat the process: 158 / 45

Let's proceed to step 6:
45 goes into 158 3 times with a remainder of 23.
The next digit of our result is 3. 
Result so far: 6883.0
The remainder is 23 after subtracting 135 from 158.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Going ahead to step 7:
When dividing 230 by 45, we get 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 6883.5
The remainder is 5 after subtracting 225 from 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 8:
45 can be fit into 50 1 times, resulting in a remainder of 5.
Use 1 as the next digit of our solution. 
Result so far: 6883.51
Subtract 45 from 50 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.

Moving on to step 9:
The number 45 fits into 50 1 times, leaving a remainder of 5.
The next digit of our result is 1. 
Result so far: 6883.511
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.

Our division results in 6883.511 with a remaining 0.0005.