We look at the division of 663358 by 71 
We want to figure out the number of times 663358 can be divided by 71.

Step 1:
71 goes into 6 0 times with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Fetch the next digit (6) from the dividend, attach it to 6 and continue: 66 / 71

Advancing to step 2:
If we divide 66 by 71, we get 0 and a remainder of 66.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 66 to get 66.
Include the next digit (3) from the dividend after 66, then repeat: 663 / 71

On to step 3:
71 can be fit into 663 9 times, resulting in a remainder of 24.
Write down 9 as next digit of the result. 
Result so far: 9.0
Subtract 639 from 663 to get 24.
Take the next digit (3) from the dividend and append it to 24, then repeat: 243 / 71

Going ahead to step 4:
243 divided by 71 is 3 with a remainder of 30.
Use 3 as the next digit of our solution. 
Result so far: 93.0
Deduct 213 from 243 and we're left with 30.
Append the next digit (5) from the dividend to 30 and continue with: 305 / 71

On to step 5:
305 divided by 71 is 4 with a remainder of 21.
Use 4 as the next digit of our solution. 
Result so far: 934.0
If we subtract 284 from 305, we get 21.
Take the next digit (8) from the dividend and append it to 21, then repeat: 218 / 71

Moving on to step 6:
71 goes into 218 3 times with a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 9343.0
If we subtract 213 from 218, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 7:
The number 71 fits into 50 0 times, leaving a remainder of 50.
The next digit of our result is 0. 
Result so far: 9343.0
If we subtract 0 from 50, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 8:
500 divided by 71 is 7 with a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 9343.07
Subtracting 497 from 500 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.

Moving on to step 9:
When dividing 30 by 71, we get 0 with a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 9343.07
The remainder is 30 after subtracting 0 from 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 10:
71 goes into 300 4 times with a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 9343.0704
If we subtract 284 from 300, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 11:
The number 71 fits into 160 2 times, leaving a remainder of 18.
The next digit of our result is 2. 
Result so far: 9343.07042
If we take 142 away from 160, we end up 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.

Step 12:
71 can be fit into 180 2 times, resulting in a remainder of 38.
The number 2 becomes the next digit in our result. 
Result so far: 9343.070422
Subtract 142 from 180 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

The quotient of the division is 9343.070422, and the remainder is 3.8e-06.