34865 ÷ 40 
We want to figure out the number of times 34865 can be divided by 40.

Step 1:
3 divided by 40 is 0 with 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.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 40

Advancing to step 2:
If we divide 34 by 40, we get 0 and a remainder of 34.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 34 and we're left with 34.
Include the next digit (8) from the dividend after 34, then repeat: 348 / 40

Advancing to step 3:
When dividing 348 by 40, we get 8 with a remainder of 28.
Write down 8 as next digit of the result. 
Result so far: 8.0
The remainder is 28 after subtracting 320 from 348.
Append the next digit (6) from the dividend to 28 and continue with: 286 / 40

Going ahead to step 4:
286 divided by 40 is 7 with a remainder of 6.
Put 7 as the next digit of the answer. 
Result so far: 87.0
The remainder is 6 after subtracting 280 from 286.
Grab the next digit (5) from the dividend, add it to 6, then carry on: 65 / 40

Advancing to step 5:
When dividing 65 by 40, we get 1 with a remainder of 25.
The number 1 becomes the next digit in our result. 
Result so far: 871.0
If we subtract 40 from 65, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 6:
250 divided by 40 is 6 with a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 871.6
Subtracting 240 from 250 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 7:
If we divide 100 by 40, we get 2 and a remainder of 20.
Record the quotient 2 as the next digit in the result. 
Result so far: 871.62
If we take 80 away from 100, we end up 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.

Let's proceed to step 8:
The number 40 fits into 200 5 times, leaving a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 871.625
Subtract 200 from 200 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 9:
40 goes into 0 0 times with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 871.625
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 10:
When dividing 0 by 40, we get 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 871.625
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final outcome is 871.625, with a leftover of 0.0.