We look at the division of 690633 by 41 
Our goal is to divide 690633 by 41.

Let's proceed to step 1:
6 divided by 41 is 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Bring next digit (9) of the dividend behind the 6 and repeat the process: 69 / 41

Going ahead to step 2:
41 goes into 69 1 times with a remainder of 28.
The next digit of our result is 1. 
Result so far: 1.0
If we take 41 away from 69, we end up with 28.
Take the next digit (0) from the dividend and append it to 28, then repeat: 280 / 41

Going ahead to step 3:
If we divide 280 by 41, we get 6 and a remainder of 34.
Record the quotient 6 as the next digit in the result. 
Result so far: 16.0
If we take 246 away from 280, we end up with 34.
Grab the next digit (6) from the dividend, add it to 34, then carry on: 346 / 41

Moving on to step 4:
41 goes into 346 8 times with a remainder of 18.
Record the quotient 8 as the next digit in the result. 
Result so far: 168.0
Subtracting 328 from 346 leaves us with 18.
Include the next digit (3) from the dividend after 18, then repeat: 183 / 41

Step 5:
183 divided by 41 is 4 with a remainder of 19.
The number 4 becomes the next digit in our result. 
Result so far: 1684.0
If we take 164 away from 183, we end up with 19.
Bring next digit (3) of the dividend behind the 19 and repeat the process: 193 / 41

Advancing to step 6:
If we divide 193 by 41, we get 4 and a remainder of 29.
The next digit of our result is 4. 
Result so far: 16844.0
If we subtract 164 from 193, 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:
41 goes into 290 7 times with a remainder of 3.
Record the quotient 7 as the next digit in the result. 
Result so far: 16844.7
Subtracting 287 from 290 leaves us 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:
30 divided by 41 is 0 with a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 16844.7
Subtract 0 from 30 to 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.

Advancing to step 9:
When dividing 300 by 41, we get 7 with a remainder of 13.
Use 7 as the next digit of our solution. 
Result so far: 16844.707
If we take 287 away from 300, we end up 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 10:
When dividing 130 by 41, we get 3 with a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 16844.7073
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.

Going ahead to step 11:
If we divide 70 by 41, we get 1 and a remainder of 29.
The number 1 becomes the next digit in our result. 
Result so far: 16844.70731
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 12:
If we divide 290 by 41, we get 7 and a remainder of 3.
Record the quotient 7 as the next digit in the result. 
Result so far: 16844.707317
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.

Moving on to step 13:
41 goes into 30 0 times with a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 16844.707317
Deduct 0 from 30 and we're left 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.

Let's proceed to step 14:
When dividing 300 by 41, we get 7 with a remainder of 13.
The next digit of our result is 7. 
Result so far: 16844.70731707
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.

Our division results in 16844.70731707 with a remaining 1.3e-08.