We're dividing 378211 by 5 
We're looking to find how many times 5 goes into 378211.

Let's proceed to step 1:
When dividing 3 by 5, we get 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Grab the next digit (7) from the dividend, add it to 3, then carry on: 37 / 5

Advancing to step 2:
The number 5 fits into 37 7 times, leaving a remainder of 2.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Subtracting 35 from 37 leaves us with 2.
Include the next digit (8) from the dividend after 2, then repeat: 28 / 5

Let's proceed to step 3:
5 goes into 28 5 times with a remainder of 3.
The number 5 becomes the next digit in our result. 
Result so far: 75.0
Subtracting 25 from 28 leaves us with 3.
Include the next digit (2) from the dividend after 3, then repeat: 32 / 5

Moving on to step 4:
5 goes into 32 6 times with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 756.0
The remainder is 2 after subtracting 30 from 32.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 5

Step 5:
5 goes into 21 4 times with a remainder of 1.
The number 4 becomes the next digit in our result. 
Result so far: 7564.0
If we take 20 away from 21, we end up with 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 5

Going ahead to step 6:
5 can be fit into 11 2 times, resulting in a remainder of 1.
Use 2 as the next digit of our solution. 
Result so far: 75642.0
Subtracting 10 from 11 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 7:
5 goes into 10 2 times with a remainder of 0.
The next digit of our result is 2. 
Result so far: 75642.2
If we take 10 away from 10, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 8:
If we divide 0 by 5, we get 0 and a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 75642.2
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 9:
5 goes into 0 0 times with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 75642.2
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 75642.2, and the remainder is 0.0.