We're dividing 309440 by 41 
We want to divide 309440 by 41.

Step 1:
The number 41 fits into 3 0 times, leaving a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Take the next digit (0) from the dividend and append it to 3, then repeat: 30 / 41

Moving on to step 2:
41 can be fit into 30 0 times, resulting in a remainder of 30.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 30, we end up with 30.
Append the next digit (9) from the dividend to 30 and continue with: 309 / 41

Step 3:
41 goes into 309 7 times with a remainder of 22.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
If we subtract 287 from 309, we get 22.
Append the next digit (4) from the dividend to 22 and continue with: 224 / 41

Going ahead to step 4:
The number 41 fits into 224 5 times, leaving a remainder of 19.
Use 5 as the next digit of our solution. 
Result so far: 75.0
Subtract 205 from 224 to get 19.
Grab the next digit (4) from the dividend, add it to 19, then carry on: 194 / 41

Let's proceed to step 5:
41 goes into 194 4 times with a remainder of 30.
The number 4 becomes the next digit in our result. 
Result so far: 754.0
If we subtract 164 from 194, we get 30.
Take the next digit (0) from the dividend and append it to 30, then repeat: 300 / 41

Moving on to step 6:
41 goes into 300 7 times with a remainder of 13.
The next digit of our result is 7. 
Result so far: 7547.0
The remainder is 13 after subtracting 287 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 7:
130 divided by 41 is 3 with a remainder of 7.
The next digit of our result is 3. 
Result so far: 7547.3
If we subtract 123 from 130, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 8:
41 can be fit into 70 1 times, resulting in a remainder of 29.
Put 1 as the next digit of the answer. 
Result so far: 7547.31
Deduct 41 from 70 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Advancing to step 9:
290 divided by 41 is 7 with a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 7547.317
The remainder is 3 after subtracting 287 from 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 10:
30 divided by 41 is 0 with a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 7547.317
If we subtract 0 from 30, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 11:
300 divided by 41 is 7 with a remainder of 13.
Put 7 as the next digit of the answer. 
Result so far: 7547.31707
Deduct 287 from 300 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 12:
When dividing 130 by 41, we get 3 with a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 7547.317073
If we subtract 123 from 130, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 13:
The number 41 fits into 70 1 times, leaving a remainder of 29.
Use 1 as the next digit of our solution. 
Result so far: 7547.3170731
Deduct 41 from 70 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Let's proceed to step 14:
41 can be fit into 290 7 times, resulting in a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 7547.31707317
If we take 287 away from 290, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

The final result is 7547.31707317 with a remainder of 3e-09.