7106 divided by 41 
We're looking to find how many times 41 goes into 7106.

On to step 1:
The number 41 fits into 7 0 times, leaving a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Include the next digit (1) from the dividend after 7, then repeat: 71 / 41

Going ahead to step 2:
71 divided by 41 is 1 with a remainder of 30.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 41 from 71 to get 30.
Include the next digit (0) from the dividend after 30, then repeat: 300 / 41

On to step 3:
If we divide 300 by 41, we get 7 and a remainder of 13.
Use 7 as the next digit of our solution. 
Result so far: 17.0
Deduct 287 from 300 and we're left with 13.
Fetch the next digit (6) from the dividend, attach it to 13 and continue: 136 / 41

Step 4:
If we divide 136 by 41, we get 3 and a remainder of 13.
The next digit of our result is 3. 
Result so far: 173.0
Subtracting 123 from 136 leaves us 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.

Going ahead to step 5:
The number 41 fits into 130 3 times, leaving a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 173.3
If we take 123 away from 130, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 6:
When dividing 70 by 41, we get 1 with a remainder of 29.
The next digit of our result is 1. 
Result so far: 173.31
If we subtract 41 from 70, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Moving on to step 7:
290 divided by 41 is 7 with a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 173.317
Deduct 287 from 290 and we're left 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.

Advancing to step 8:
41 goes into 30 0 times with a remainder of 30.
The next digit of our result is 0. 
Result so far: 173.317
If we take 0 away from 30, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 9:
41 goes into 300 7 times with a remainder of 13.
Write down 7 as next digit of the result. 
Result so far: 173.31707
Subtract 287 from 300 to get 13.
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 10:
41 can be fit into 130 3 times, resulting in a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 173.317073
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.

Going ahead to step 11:
70 divided by 41 is 1 with a remainder of 29.
Record the quotient 1 as the next digit in the result. 
Result so far: 173.3170731
Subtracting 41 from 70 leaves us 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 12:
The number 41 fits into 290 7 times, leaving a remainder of 3.
Record the quotient 7 as the next digit in the result. 
Result so far: 173.31707317
Deduct 287 from 290 and we're left 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 173.31707317 with a remainder of 3e-09.