71471174 ÷ 408 
We want to figure out the number of times 71471174 can be divided by 408.

On to step 1:
408 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.
Grab the next digit (1) from the dividend, add it to 7, then carry on: 71 / 408

Step 2:
The number 408 fits into 71 0 times, leaving a remainder of 71.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 71 leaves us with 71.
Grab the next digit (4) from the dividend, add it to 71, then carry on: 714 / 408

Step 3:
408 goes into 714 1 times with a remainder of 306.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 408 from 714 and we're left with 306.
Include the next digit (7) from the dividend after 306, then repeat: 3067 / 408

Let's proceed to step 4:
3067 divided by 408 is 7 with a remainder of 211.
Record the quotient 7 as the next digit in the result. 
Result so far: 17.0
If we take 2856 away from 3067, we end up with 211.
Append the next digit (1) from the dividend to 211 and continue with: 2111 / 408

Advancing to step 5:
The number 408 fits into 2111 5 times, leaving a remainder of 71.
The number 5 becomes the next digit in our result. 
Result so far: 175.0
If we take 2040 away from 2111, we end up with 71.
Take the next digit (1) from the dividend and append it to 71, then repeat: 711 / 408

On to step 6:
The number 408 fits into 711 1 times, leaving a remainder of 303.
Use 1 as the next digit of our solution. 
Result so far: 1751.0
If we subtract 408 from 711, we get 303.
Fetch the next digit (7) from the dividend, attach it to 303 and continue: 3037 / 408

Advancing to step 7:
When dividing 3037 by 408, we get 7 with a remainder of 181.
Use 7 as the next digit of our solution. 
Result so far: 17517.0
Deduct 2856 from 3037 and we're left with 181.
Grab the next digit (4) from the dividend, add it to 181, then carry on: 1814 / 408

Advancing to step 8:
408 can be fit into 1814 4 times, resulting in a remainder of 182.
Use 4 as the next digit of our solution. 
Result so far: 175174.0
Subtracting 1632 from 1814 leaves us with 182.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1820, and continue the process.

On to step 9:
When dividing 1820 by 408, we get 4 with a remainder of 188.
Put 4 as the next digit of the answer. 
Result so far: 175174.4
Subtracting 1632 from 1820 leaves us with 188.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1880, and continue the process.

Going ahead to step 10:
408 goes into 1880 4 times with a remainder of 248.
Use 4 as the next digit of our solution. 
Result so far: 175174.44
If we take 1632 away from 1880, we end up with 248.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2480, and continue the process.

The quotient of the division is 175174.44, and the remainder is 0.248.