We look at the division of 378788 by 69 
Our goal is to divide 378788 by 69.

On to step 1:
69 goes into 3 0 times with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 69

Let's proceed to step 2:
If we divide 37 by 69, we get 0 and a remainder of 37.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 37, we end up with 37.
Bring next digit (8) of the dividend behind the 37 and repeat the process: 378 / 69

On to step 3:
When dividing 378 by 69, we get 5 with a remainder of 33.
Use 5 as the next digit of our solution. 
Result so far: 5.0
Subtract 345 from 378 to get 33.
Grab the next digit (7) from the dividend, add it to 33, then carry on: 337 / 69

Step 4:
69 can be fit into 337 4 times, resulting in a remainder of 61.
Write down 4 as next digit of the result. 
Result so far: 54.0
If we take 276 away from 337, we end up with 61.
Include the next digit (8) from the dividend after 61, then repeat: 618 / 69

On to step 5:
69 goes into 618 8 times with a remainder of 66.
Write down 8 as next digit of the result. 
Result so far: 548.0
If we subtract 552 from 618, we get 66.
Grab the next digit (8) from the dividend, add it to 66, then carry on: 668 / 69

On to step 6:
69 can be fit into 668 9 times, resulting in a remainder of 47.
The next digit of our result is 9. 
Result so far: 5489.0
Subtract 621 from 668 to get 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Step 7:
The number 69 fits into 470 6 times, leaving a remainder of 56.
The next digit of our result is 6. 
Result so far: 5489.6
Subtract 414 from 470 to get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

On to step 8:
69 can be fit into 560 8 times, resulting in a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 5489.68
If we subtract 552 from 560, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 9:
The number 69 fits into 80 1 times, leaving a remainder of 11.
Write down 1 as next digit of the result. 
Result so far: 5489.681
Deduct 69 from 80 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 10:
69 goes into 110 1 times with a remainder of 41.
Put 1 as the next digit of the answer. 
Result so far: 5489.6811
Subtracting 69 from 110 leaves us with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

The final outcome is 5489.6811, with a leftover of 0.00041.