697037 ÷ 41 
Let's see how many times 41 fits into 697037.

On to step 1:
The number 41 fits into 6 0 times, leaving a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Fetch the next digit (9) from the dividend, attach it to 6 and continue: 69 / 41

Going ahead to step 2:
When dividing 69 by 41, we get 1 with a remainder of 28.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 41 from 69, we get 28.
Grab the next digit (7) from the dividend, add it to 28, then carry on: 287 / 41

Advancing to step 3:
If we divide 287 by 41, we get 7 and a remainder of 0.
Write down 7 as next digit of the result. 
Result so far: 17.0
Subtracting 287 from 287 leaves us with 0.
Include the next digit (0) from the dividend after 0, then repeat: 0 / 41

Going ahead to step 4:
41 can be fit into 0 0 times, resulting in a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 170.0
Deduct 0 from 0 and we're left with 0.
Fetch the next digit (3) from the dividend, attach it to 0 and continue: 3 / 41

Going ahead to step 5:
The number 41 fits into 3 0 times, leaving a remainder of 3.
The next digit of our result is 0. 
Result so far: 1700.0
If we subtract 0 from 3, we get 3.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 41

Advancing to step 6:
When dividing 37 by 41, we get 0 with a remainder of 37.
Put 0 as the next digit of the answer. 
Result so far: 17000.0
Subtracting 0 from 37 leaves us with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Moving on to step 7:
41 can be fit into 370 9 times, resulting in a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 17000.9
If we subtract 369 from 370, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 8:
41 goes into 10 0 times with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 17000.9
If we subtract 0 from 10, we get 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 9:
41 goes into 100 2 times with a remainder of 18.
Record the quotient 2 as the next digit in the result. 
Result so far: 17000.902
Subtracting 82 from 100 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 10:
When dividing 180 by 41, we get 4 with a remainder of 16.
The number 4 becomes the next digit in our result. 
Result so far: 17000.9024
The remainder is 16 after subtracting 164 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 11:
41 goes into 160 3 times with a remainder of 37.
Use 3 as the next digit of our solution. 
Result so far: 17000.90243
Subtract 123 from 160 to get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

On to step 12:
41 can be fit into 370 9 times, resulting in a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 17000.902439
If we take 369 away from 370, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 13:
When dividing 10 by 41, we get 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 17000.902439
Subtracting 0 from 10 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.

Step 14:
When dividing 100 by 41, we get 2 with a remainder of 18.
Put 2 as the next digit of the answer. 
Result so far: 17000.90243902
Deduct 82 from 100 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

After the division, we end up with 17000.90243902 and a remainder of 1.8e-08.