45340 ÷ 61 
We want to divide 45340 by 61.

Step 1:
When dividing 4 by 61, we get 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Bring next digit (5) of the dividend behind the 4 and repeat the process: 45 / 61

Let's proceed to step 2:
61 goes into 45 0 times with a remainder of 45.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 45 and we're left with 45.
Fetch the next digit (3) from the dividend, attach it to 45 and continue: 453 / 61

On to step 3:
61 can be fit into 453 7 times, resulting in a remainder of 26.
Write down 7 as next digit of the result. 
Result so far: 7.0
If we subtract 427 from 453, we get 26.
Include the next digit (4) from the dividend after 26, then repeat: 264 / 61

Moving on to step 4:
When dividing 264 by 61, we get 4 with a remainder of 20.
The next digit of our result is 4. 
Result so far: 74.0
If we take 244 away from 264, we end up with 20.
Grab the next digit (0) from the dividend, add it to 20, then carry on: 200 / 61

Step 5:
200 divided by 61 is 3 with a remainder of 17.
Record the quotient 3 as the next digit in the result. 
Result so far: 743.0
If we take 183 away from 200, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 6:
When dividing 170 by 61, we get 2 with a remainder of 48.
Write down 2 as next digit of the result. 
Result so far: 743.2
Deduct 122 from 170 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Going ahead to step 7:
If we divide 480 by 61, we get 7 and a remainder of 53.
The number 7 becomes the next digit in our result. 
Result so far: 743.27
The remainder is 53 after subtracting 427 from 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Let's proceed to step 8:
61 can be fit into 530 8 times, resulting in a remainder of 42.
Use 8 as the next digit of our solution. 
Result so far: 743.278
If we take 488 away from 530, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

On to step 9:
If we divide 420 by 61, we get 6 and a remainder of 54.
Write down 6 as next digit of the result. 
Result so far: 743.2786
Subtract 366 from 420 to get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

On to step 10:
If we divide 540 by 61, we get 8 and a remainder of 52.
The next digit of our result is 8. 
Result so far: 743.27868
Deduct 488 from 540 and we're left with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

On to step 11:
The number 61 fits into 520 8 times, leaving a remainder of 32.
Use 8 as the next digit of our solution. 
Result so far: 743.278688
The remainder is 32 after subtracting 488 from 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

In conclusion, the division gives 743.278688 with a balance of 3.2e-06.