We look at the division of 308534 by 41 
Our goal is to divide 308534 by 41.

Going ahead to 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
If we subtract 0 from 3, we get 3.
Grab the next digit (0) from the dividend, add it to 3, then carry on: 30 / 41

Let's proceed to step 2:
41 goes into 30 0 times with a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 30 leaves us with 30.
Bring next digit (8) of the dividend behind the 30 and repeat the process: 308 / 41

Let's proceed to step 3:
When dividing 308 by 41, we get 7 with a remainder of 21.
The next digit of our result is 7. 
Result so far: 7.0
If we subtract 287 from 308, we get 21.
Bring next digit (5) of the dividend behind the 21 and repeat the process: 215 / 41

Advancing to step 4:
41 goes into 215 5 times with a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 75.0
Deduct 205 from 215 and we're left with 10.
Include the next digit (3) from the dividend after 10, then repeat: 103 / 41

On to step 5:
41 can be fit into 103 2 times, resulting in a remainder of 21.
The number 2 becomes the next digit in our result. 
Result so far: 752.0
Subtracting 82 from 103 leaves us with 21.
Append the next digit (4) from the dividend to 21 and continue with: 214 / 41

Going ahead to step 6:
If we divide 214 by 41, we get 5 and a remainder of 9.
The next digit of our result is 5. 
Result so far: 7525.0
Subtract 205 from 214 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 7:
41 can be fit into 90 2 times, resulting in a remainder of 8.
The next digit of our result is 2. 
Result so far: 7525.2
Subtract 82 from 90 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 8:
41 goes into 80 1 times with a remainder of 39.
Put 1 as the next digit of the answer. 
Result so far: 7525.21
Deduct 41 from 80 and we're left with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Going ahead to step 9:
41 can be fit into 390 9 times, resulting in a remainder of 21.
Put 9 as the next digit of the answer. 
Result so far: 7525.219
If we subtract 369 from 390, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 10:
210 divided by 41 is 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 7525.2195
Deduct 205 from 210 and we're left 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.

On to step 11:
If we divide 50 by 41, we get 1 and a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 7525.21951
If we take 41 away from 50, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 12:
90 divided by 41 is 2 with a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 7525.219512
Deduct 82 from 90 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 13:
41 can be fit into 80 1 times, resulting in a remainder of 39.
The next digit of our result is 1. 
Result so far: 7525.2195121
If we take 41 away from 80, we end up with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Step 14:
41 can be fit into 390 9 times, resulting in a remainder of 21.
Record the quotient 9 as the next digit in the result. 
Result so far: 7525.21951219
If we subtract 369 from 390, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

The final result is 7525.21951219 with a remainder of 2.1e-08.