We're dividing 7379 by 6 
Our goal is to divide 7379 by 6.

On to step 1:
If we divide 7 by 6, we get 1 and a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 6 away from 7, we end up with 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 6

On to step 2:
When dividing 13 by 6, we get 2 with a remainder of 1.
The next digit of our result is 2. 
Result so far: 12.0
Deduct 12 from 13 and we're left with 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 6

On to step 3:
If we divide 17 by 6, we get 2 and a remainder of 5.
Record the quotient 2 as the next digit in the result. 
Result so far: 122.0
If we take 12 away from 17, we end up with 5.
Bring next digit (9) of the dividend behind the 5 and repeat the process: 59 / 6

Moving on to step 4:
6 goes into 59 9 times with a remainder of 5.
Write down 9 as next digit of the result. 
Result so far: 1229.0
Subtract 54 from 59 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 5:
The number 6 fits into 50 8 times, leaving a remainder of 2.
The next digit of our result is 8. 
Result so far: 1229.8
Subtract 48 from 50 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 6:
When dividing 20 by 6, we get 3 with a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 1229.83
Deduct 18 from 20 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 7:
If we divide 20 by 6, we get 3 and a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 1229.833
Subtracting 18 from 20 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The quotient of the division is 1229.833, and the remainder is 0.0002.