We're dividing 376084 by 90 
We're looking to find how many times 90 goes into 376084.

Moving on to step 1:
When dividing 3 by 90, we get 0 with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Include the next digit (7) from the dividend after 3, then repeat: 37 / 90

On to step 2:
90 can be fit into 37 0 times, resulting in a remainder of 37.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 37 leaves us with 37.
Fetch the next digit (6) from the dividend, attach it to 37 and continue: 376 / 90

Going ahead to step 3:
If we divide 376 by 90, we get 4 and a remainder of 16.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
If we take 360 away from 376, we end up with 16.
Fetch the next digit (0) from the dividend, attach it to 16 and continue: 160 / 90

Let's proceed to step 4:
If we divide 160 by 90, we get 1 and a remainder of 70.
Put 1 as the next digit of the answer. 
Result so far: 41.0
If we subtract 90 from 160, we get 70.
Append the next digit (8) from the dividend to 70 and continue with: 708 / 90

Step 5:
708 divided by 90 is 7 with a remainder of 78.
Write down 7 as next digit of the result. 
Result so far: 417.0
If we take 630 away from 708, we end up with 78.
Append the next digit (4) from the dividend to 78 and continue with: 784 / 90

Step 6:
The number 90 fits into 784 8 times, leaving a remainder of 64.
Put 8 as the next digit of the answer. 
Result so far: 4178.0
The remainder is 64 after subtracting 720 from 784.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

On to step 7:
90 can be fit into 640 7 times, resulting in a remainder of 10.
Record the quotient 7 as the next digit in the result. 
Result so far: 4178.7
Subtract 630 from 640 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 8:
The number 90 fits into 100 1 times, leaving a remainder of 10.
The number 1 becomes the next digit in our result. 
Result so far: 4178.71
Subtract 90 from 100 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 9:
If we divide 100 by 90, we get 1 and a remainder of 10.
Record the quotient 1 as the next digit in the result. 
Result so far: 4178.711
Subtract 90 from 100 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Our division results in 4178.711 with a remaining 0.001.