We look at the division of 710553 by 41 
We want to figure out the number of times 710553 can be divided by 41.

Going ahead to step 1:
When dividing 7 by 41, we get 0 with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Fetch the next digit (1) from the dividend, attach it to 7 and continue: 71 / 41

Step 2:
If we divide 71 by 41, we get 1 and a remainder of 30.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 41 away from 71, we end up with 30.
Take the next digit (0) from the dividend and append it to 30, then repeat: 300 / 41

Advancing to step 3:
If we divide 300 by 41, we get 7 and a remainder of 13.
The next digit of our result is 7. 
Result so far: 17.0
Subtract 287 from 300 to get 13.
Include the next digit (5) from the dividend after 13, then repeat: 135 / 41

Moving on to step 4:
When dividing 135 by 41, we get 3 with a remainder of 12.
Record the quotient 3 as the next digit in the result. 
Result so far: 173.0
Deduct 123 from 135 and we're left with 12.
Include the next digit (5) from the dividend after 12, then repeat: 125 / 41

Advancing to step 5:
41 can be fit into 125 3 times, resulting in a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 1733.0
If we subtract 123 from 125, we get 2.
Grab the next digit (3) from the dividend, add it to 2, then carry on: 23 / 41

Step 6:
When dividing 23 by 41, we get 0 with a remainder of 23.
Write down 0 as next digit of the result. 
Result so far: 17330.0
If we subtract 0 from 23, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Step 7:
If we divide 230 by 41, we get 5 and a remainder of 25.
The next digit of our result is 5. 
Result so far: 17330.5
If we subtract 205 from 230, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 8:
If we divide 250 by 41, we get 6 and a remainder of 4.
The next digit of our result is 6. 
Result so far: 17330.56
Deduct 246 from 250 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 9:
41 can be fit into 40 0 times, resulting in a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 17330.56
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 10:
If we divide 400 by 41, we get 9 and a remainder of 31.
The number 9 becomes the next digit in our result. 
Result so far: 17330.5609
Deduct 369 from 400 and we're left with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

On to step 11:
The number 41 fits into 310 7 times, leaving a remainder of 23.
Record the quotient 7 as the next digit in the result. 
Result so far: 17330.56097
Subtracting 287 from 310 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Going ahead to step 12:
41 goes into 230 5 times with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 17330.560975
Deduct 205 from 230 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 13:
250 divided by 41 is 6 with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 17330.5609756
If we subtract 246 from 250, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 14:
40 divided by 41 is 0 with a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 17330.5609756
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

After the division, we end up with 17330.5609756 and a remainder of 4e-08.