We divide 343757 by 45
Let's see how many times 45 fits into 343757.

Advancing to step 1:
45 goes into 3 0 times with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 45

Moving on to step 2:
If we divide 34 by 45, we get 0 and a remainder of 34.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 34, we end up with 34.
Include the next digit (3) from the dividend after 34, then repeat: 343 / 45

Moving on to step 3:
343 divided by 45 is 7 with a remainder of 28.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Subtract 315 from 343 to get 28.
Include the next digit (7) from the dividend after 28, then repeat: 287 / 45

Let's proceed to step 4:
When dividing 287 by 45, we get 6 with a remainder of 17.
The number 6 becomes the next digit in our result. 
Result so far: 76.0
Subtracting 270 from 287 leaves us with 17.
Take the next digit (5) from the dividend and append it to 17, then repeat: 175 / 45

On to step 5:
175 divided by 45 is 3 with a remainder of 40.
The number 3 becomes the next digit in our result. 
Result so far: 763.0
If we subtract 135 from 175, we get 40.
Include the next digit (7) from the dividend after 40, then repeat: 407 / 45

Step 6:
45 can be fit into 407 9 times, resulting in a remainder of 2.
Use 9 as the next digit of our solution. 
Result so far: 7639.0
Subtract 405 from 407 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 7:
If we divide 20 by 45, we get 0 and a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 7639.0
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 8:
200 divided by 45 is 4 with a remainder of 20.
Use 4 as the next digit of our solution. 
Result so far: 7639.04
The remainder is 20 after subtracting 180 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 9:
The number 45 fits into 200 4 times, leaving a remainder of 20.
The number 4 becomes the next digit in our result. 
Result so far: 7639.044
Subtract 180 from 200 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

After the division, we end up with 7639.044 and a remainder of 0.002.