Let's divide 376669 by 3
Let's see how many times 3 fits into 376669.

On to step 1:
3 divided by 3 is 1 with a remainder of 0.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 3 from 3 leaves us with 0.
Fetch the next digit (7) from the dividend, attach it to 0 and continue: 7 / 3

Let's proceed to step 2:
The number 3 fits into 7 2 times, leaving a remainder of 1.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
If we take 6 away from 7, we end up with 1.
Grab the next digit (6) from the dividend, add it to 1, then carry on: 16 / 3

Advancing to step 3:
3 goes into 16 5 times with a remainder of 1.
Use 5 as the next digit of our solution. 
Result so far: 125.0
Subtract 15 from 16 to get 1.
Append the next digit (6) from the dividend to 1 and continue with: 16 / 3

Going ahead to step 4:
The number 3 fits into 16 5 times, leaving a remainder of 1.
Put 5 as the next digit of the answer. 
Result so far: 1255.0
Subtracting 15 from 16 leaves us with 1.
Take the next digit (6) from the dividend and append it to 1, then repeat: 16 / 3

Going ahead to step 5:
16 divided by 3 is 5 with a remainder of 1.
The next digit of our result is 5. 
Result so far: 12555.0
The remainder is 1 after subtracting 15 from 16.
Include the next digit (9) from the dividend after 1, then repeat: 19 / 3

Step 6:
The number 3 fits into 19 6 times, leaving a remainder of 1.
Put 6 as the next digit of the answer. 
Result so far: 125556.0
If we subtract 18 from 19, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 7:
10 divided by 3 is 3 with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 125556.3
If we subtract 9 from 10, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 8:
When dividing 10 by 3, we get 3 with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 125556.33
Subtract 9 from 10 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

After the division, we end up with 125556.33 and a remainder of 0.001.