We divide 146945 by 6
We want to figure out the number of times 146945 can be divided by 6.

Let's proceed to step 1:
If we divide 1 by 6, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Take the next digit (4) from the dividend and append it to 1, then repeat: 14 / 6

Step 2:
When dividing 14 by 6, we get 2 with a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
The remainder is 2 after subtracting 12 from 14.
Grab the next digit (6) from the dividend, add it to 2, then carry on: 26 / 6

Advancing to step 3:
The number 6 fits into 26 4 times, leaving a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 24.0
The remainder is 2 after subtracting 24 from 26.
Grab the next digit (9) from the dividend, add it to 2, then carry on: 29 / 6

On to step 4:
29 divided by 6 is 4 with a remainder of 5.
Record the quotient 4 as the next digit in the result. 
Result so far: 244.0
Subtracting 24 from 29 leaves us with 5.
Bring next digit (4) of the dividend behind the 5 and repeat the process: 54 / 6

Step 5:
The number 6 fits into 54 9 times, leaving a remainder of 0.
Record the quotient 9 as the next digit in the result. 
Result so far: 2449.0
Subtracting 54 from 54 leaves us with 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 6

Let's proceed to step 6:
6 can be fit into 5 0 times, resulting in a remainder of 5.
The next digit of our result is 0. 
Result so far: 24490.0
If we take 0 away from 5, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 7:
6 can be fit into 50 8 times, resulting in a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 24490.8
Subtracting 48 from 50 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.

Let's proceed to step 8:
If we divide 20 by 6, we get 3 and a remainder of 2.
The next digit of our result is 3. 
Result so far: 24490.83
If we subtract 18 from 20, we 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.

Going ahead to step 9:
If we divide 20 by 6, we get 3 and a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 24490.833
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 24490.833, and the remainder is 0.0002.