We look at the division of 376961 by 94 
Our goal is to divide 376961 by 94.

Let's proceed to step 1:
94 can be fit into 3 0 times, resulting in a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 94

Going ahead to step 2:
94 goes into 37 0 times with a remainder of 37.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 37 and we're left with 37.
Append the next digit (6) from the dividend to 37 and continue with: 376 / 94

Step 3:
94 goes into 376 4 times with a remainder of 0.
Write down 4 as next digit of the result. 
Result so far: 4.0
The remainder is 0 after subtracting 376 from 376.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 94

On to step 4:
The number 94 fits into 9 0 times, leaving a remainder of 9.
The next digit of our result is 0. 
Result so far: 40.0
If we take 0 away from 9, we end up with 9.
Include the next digit (6) from the dividend after 9, then repeat: 96 / 94

Step 5:
If we divide 96 by 94, we get 1 and a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 401.0
Deduct 94 from 96 and we're left with 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 94

Moving on to step 6:
21 divided by 94 is 0 with a remainder of 21.
Write down 0 as next digit of the result. 
Result so far: 4010.0
Deduct 0 from 21 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 7:
If we divide 210 by 94, we get 2 and a remainder of 22.
The next digit of our result is 2. 
Result so far: 4010.2
Subtract 188 from 210 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 8:
If we divide 220 by 94, we get 2 and a remainder of 32.
Use 2 as the next digit of our solution. 
Result so far: 4010.22
Subtracting 188 from 220 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

In conclusion, the division gives 4010.22 with a balance of 0.032.