We're dividing 3378688 by 524 
We want to figure out the number of times 3378688 can be divided by 524.

On to step 1:
524 can be fit into 3 0 times, resulting in a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Include the next digit (3) from the dividend after 3, then repeat: 33 / 524

Advancing to step 2:
524 can be fit into 33 0 times, resulting in a remainder of 33.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 33 after subtracting 0 from 33.
Fetch the next digit (7) from the dividend, attach it to 33 and continue: 337 / 524

Moving on to step 3:
524 goes into 337 0 times with a remainder of 337.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 337 after subtracting 0 from 337.
Take the next digit (8) from the dividend and append it to 337, then repeat: 3378 / 524

Going ahead to step 4:
The number 524 fits into 3378 6 times, leaving a remainder of 234.
The next digit of our result is 6. 
Result so far: 6.0
Deduct 3144 from 3378 and we're left with 234.
Grab the next digit (6) from the dividend, add it to 234, then carry on: 2346 / 524

Moving on to step 5:
524 goes into 2346 4 times with a remainder of 250.
The next digit of our result is 4. 
Result so far: 64.0
The remainder is 250 after subtracting 2096 from 2346.
Bring next digit (8) of the dividend behind the 250 and repeat the process: 2508 / 524

On to step 6:
2508 divided by 524 is 4 with a remainder of 412.
Write down 4 as next digit of the result. 
Result so far: 644.0
Subtracting 2096 from 2508 leaves us with 412.
Append the next digit (8) from the dividend to 412 and continue with: 4128 / 524

On to step 7:
524 goes into 4128 7 times with a remainder of 460.
Record the quotient 7 as the next digit in the result. 
Result so far: 6447.0
The remainder is 460 after subtracting 3668 from 4128.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4600, and continue the process.

Step 8:
4600 divided by 524 is 8 with a remainder of 408.
The next digit of our result is 8. 
Result so far: 6447.8
Subtracting 4192 from 4600 leaves us with 408.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4080, and continue the process.

Let's proceed to step 9:
When dividing 4080 by 524, we get 7 with a remainder of 412.
Use 7 as the next digit of our solution. 
Result so far: 6447.87
Subtract 3668 from 4080 to get 412.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4120, and continue the process.

Step 10:
524 goes into 4120 7 times with a remainder of 452.
Record the quotient 7 as the next digit in the result. 
Result so far: 6447.877
The remainder is 452 after subtracting 3668 from 4120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4520, and continue the process.

The final outcome is 6447.877, with a leftover of 0.0452.