We look at the division of 706828 by 41 
Our goal is to divide 706828 by 41.

Moving on to step 1:
41 goes into 7 0 times with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Append the next digit (0) from the dividend to 7 and continue with: 70 / 41

Let's proceed to step 2:
When dividing 70 by 41, we get 1 with a remainder of 29.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 41 from 70 leaves us with 29.
Take the next digit (6) from the dividend and append it to 29, then repeat: 296 / 41

Step 3:
The number 41 fits into 296 7 times, leaving a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 17.0
The remainder is 9 after subtracting 287 from 296.
Bring next digit (8) of the dividend behind the 9 and repeat the process: 98 / 41

Going ahead to step 4:
When dividing 98 by 41, we get 2 with a remainder of 16.
Write down 2 as next digit of the result. 
Result so far: 172.0
Subtracting 82 from 98 leaves us with 16.
Take the next digit (2) from the dividend and append it to 16, then repeat: 162 / 41

Let's proceed to step 5:
41 goes into 162 3 times with a remainder of 39.
Use 3 as the next digit of our solution. 
Result so far: 1723.0
The remainder is 39 after subtracting 123 from 162.
Grab the next digit (8) from the dividend, add it to 39, then carry on: 398 / 41

Advancing to step 6:
When dividing 398 by 41, we get 9 with a remainder of 29.
Use 9 as the next digit of our solution. 
Result so far: 17239.0
Subtract 369 from 398 to 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.

Step 7:
41 goes into 290 7 times with a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 17239.7
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.

On to step 8:
If we divide 30 by 41, we get 0 and a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 17239.7
Subtracting 0 from 30 leaves us 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 9:
41 goes into 300 7 times with a remainder of 13.
The number 7 becomes the next digit in our result. 
Result so far: 17239.707
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:
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: 17239.7073
Deduct 123 from 130 and we're left 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.

Advancing to step 11:
41 can be fit into 70 1 times, resulting in a remainder of 29.
The next digit of our result is 1. 
Result so far: 17239.70731
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.

Going ahead to step 12:
If we divide 290 by 41, we get 7 and a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 17239.707317
Subtract 287 from 290 to get 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:
If we divide 30 by 41, we get 0 and a remainder of 30.
The next digit of our result is 0. 
Result so far: 17239.707317
Subtracting 0 from 30 leaves us 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.

Advancing to step 14:
41 can be fit into 300 7 times, resulting in a remainder of 13.
Record the quotient 7 as the next digit in the result. 
Result so far: 17239.70731707
Deduct 287 from 300 and we're left 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.

The quotient of the division is 17239.70731707, and the remainder is 1.3e-08.