376665 ÷ 4 
We want to figure out the number of times 376665 can be divided by 4.

Moving on to step 1:
4 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Include the next digit (7) from the dividend after 3, then repeat: 37 / 4

Let's proceed to step 2:
When dividing 37 by 4, we get 9 with a remainder of 1.
The next digit of our result is 9. 
Result so far: 9.0
Deduct 36 from 37 and we're left with 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 4

Step 3:
When dividing 16 by 4, we get 4 with a remainder of 0.
Record the quotient 4 as the next digit in the result. 
Result so far: 94.0
Subtracting 16 from 16 leaves us with 0.
Grab the next digit (6) from the dividend, add it to 0, then carry on: 6 / 4

Moving on to step 4:
The number 4 fits into 6 1 times, leaving a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 941.0
Subtract 4 from 6 to get 2.
Grab the next digit (6) from the dividend, add it to 2, then carry on: 26 / 4

On to step 5:
26 divided by 4 is 6 with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 9416.0
If we subtract 24 from 26, we get 2.
Grab the next digit (5) from the dividend, add it to 2, then carry on: 25 / 4

Advancing to step 6:
When dividing 25 by 4, we get 6 with a remainder of 1.
Record the quotient 6 as the next digit in the result. 
Result so far: 94166.0
If we take 24 away from 25, we end up 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.

Advancing to step 7:
The number 4 fits into 10 2 times, leaving a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 94166.2
Subtracting 8 from 10 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.

On to step 8:
The number 4 fits into 20 5 times, leaving a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 94166.25
Subtract 20 from 20 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 9:
When dividing 0 by 4, we get 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 94166.25
Subtracting 0 from 0 leaves us 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 10:
0 divided by 4 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 94166.25
Subtracting 0 from 0 leaves us 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 final outcome is 94166.25, with a leftover of 0.0.