We divide 7315 by 41
Our goal is to divide 7315 by 41.

Going ahead to step 1:
The number 41 fits into 7 0 times, leaving a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Take the next digit (3) from the dividend and append it to 7, then repeat: 73 / 41

Moving on to step 2:
If we divide 73 by 41, we get 1 and a remainder of 32.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 41 away from 73, we end up with 32.
Bring next digit (1) of the dividend behind the 32 and repeat the process: 321 / 41

Let's proceed to step 3:
41 can be fit into 321 7 times, resulting in a remainder of 34.
The number 7 becomes the next digit in our result. 
Result so far: 17.0
Deduct 287 from 321 and we're left with 34.
Bring next digit (5) of the dividend behind the 34 and repeat the process: 345 / 41

Advancing to step 4:
41 goes into 345 8 times with a remainder of 17.
The number 8 becomes the next digit in our result. 
Result so far: 178.0
If we take 328 away from 345, 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.

Going ahead to step 5:
170 divided by 41 is 4 with a remainder of 6.
The next digit of our result is 4. 
Result so far: 178.4
If we subtract 164 from 170, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 6:
41 can be fit into 60 1 times, resulting in a remainder of 19.
Record the quotient 1 as the next digit in the result. 
Result so far: 178.41
The remainder is 19 after subtracting 41 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 7:
41 goes into 190 4 times with a remainder of 26.
Record the quotient 4 as the next digit in the result. 
Result so far: 178.414
If we subtract 164 from 190, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 8:
If we divide 260 by 41, we get 6 and a remainder of 14.
The number 6 becomes the next digit in our result. 
Result so far: 178.4146
If we subtract 246 from 260, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 9:
The number 41 fits into 140 3 times, leaving a remainder of 17.
Put 3 as the next digit of the answer. 
Result so far: 178.41463
Deduct 123 from 140 and we're left 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.

Moving on to step 10:
If we divide 170 by 41, we get 4 and a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 178.414634
Subtract 164 from 170 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 11:
If we divide 60 by 41, we get 1 and a remainder of 19.
Write down 1 as next digit of the result. 
Result so far: 178.4146341
Subtract 41 from 60 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 12:
41 goes into 190 4 times with a remainder of 26.
The number 4 becomes the next digit in our result. 
Result so far: 178.41463414
Deduct 164 from 190 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

The final outcome is 178.41463414, with a leftover of 2.6e-08.