We look at the division of 378003 by 85 
We want to divide 378003 by 85.

Step 1:
The number 85 fits into 3 0 times, leaving a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 85

Let's proceed to step 2:
When dividing 37 by 85, we get 0 with a remainder of 37.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 37 and we're left with 37.
Include the next digit (8) from the dividend after 37, then repeat: 378 / 85

Moving on to step 3:
If we divide 378 by 85, we get 4 and a remainder of 38.
Put 4 as the next digit of the answer. 
Result so far: 4.0
If we take 340 away from 378, we end up with 38.
Bring next digit (0) of the dividend behind the 38 and repeat the process: 380 / 85

Step 4:
85 goes into 380 4 times with a remainder of 40.
The number 4 becomes the next digit in our result. 
Result so far: 44.0
If we subtract 340 from 380, we get 40.
Take the next digit (0) from the dividend and append it to 40, then repeat: 400 / 85

Moving on to step 5:
The number 85 fits into 400 4 times, leaving a remainder of 60.
Write down 4 as next digit of the result. 
Result so far: 444.0
If we take 340 away from 400, we end up with 60.
Grab the next digit (3) from the dividend, add it to 60, then carry on: 603 / 85

Step 6:
85 can be fit into 603 7 times, resulting in a remainder of 8.
The number 7 becomes the next digit in our result. 
Result so far: 4447.0
If we subtract 595 from 603, 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 7:
When dividing 80 by 85, we get 0 with a remainder of 80.
The next digit of our result is 0. 
Result so far: 4447.0
If we subtract 0 from 80, we get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Advancing to step 8:
If we divide 800 by 85, we get 9 and a remainder of 35.
Record the quotient 9 as the next digit in the result. 
Result so far: 4447.09
Deduct 765 from 800 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 9:
The number 85 fits into 350 4 times, leaving a remainder of 10.
Record the quotient 4 as the next digit in the result. 
Result so far: 4447.094
Deduct 340 from 350 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 10:
85 goes into 100 1 times with a remainder of 15.
Put 1 as the next digit of the answer. 
Result so far: 4447.0941
Deduct 85 from 100 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 11:
150 divided by 85 is 1 with a remainder of 65.
Use 1 as the next digit of our solution. 
Result so far: 4447.09411
Subtract 85 from 150 to get 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

After the division, we end up with 4447.09411 and a remainder of 6.5e-05.