376001 ÷ 95 
Our goal is to divide 376001 by 95.

Advancing to step 1:
95 can be fit into 3 0 times, resulting in a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 95

Going ahead to step 2:
If we divide 37 by 95, we get 0 and a remainder of 37.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 37, we end up with 37.
Fetch the next digit (6) from the dividend, attach it to 37 and continue: 376 / 95

Let's proceed to step 3:
The number 95 fits into 376 3 times, leaving a remainder of 91.
Put 3 as the next digit of the answer. 
Result so far: 3.0
If we subtract 285 from 376, we get 91.
Include the next digit (0) from the dividend after 91, then repeat: 910 / 95

Moving on to step 4:
When dividing 910 by 95, we get 9 with a remainder of 55.
Write down 9 as next digit of the result. 
Result so far: 39.0
Subtract 855 from 910 to get 55.
Bring next digit (0) of the dividend behind the 55 and repeat the process: 550 / 95

On to step 5:
550 divided by 95 is 5 with a remainder of 75.
Record the quotient 5 as the next digit in the result. 
Result so far: 395.0
The remainder is 75 after subtracting 475 from 550.
Grab the next digit (1) from the dividend, add it to 75, then carry on: 751 / 95

Advancing to step 6:
95 goes into 751 7 times with a remainder of 86.
Record the quotient 7 as the next digit in the result. 
Result so far: 3957.0
If we subtract 665 from 751, we get 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Step 7:
95 goes into 860 9 times with a remainder of 5.
The next digit of our result is 9. 
Result so far: 3957.9
If we take 855 away from 860, 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.

Moving on to step 8:
When dividing 50 by 95, we get 0 with a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 3957.9
Deduct 0 from 50 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 9:
500 divided by 95 is 5 with a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 3957.905
Deduct 475 from 500 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 10:
When dividing 250 by 95, we get 2 with a remainder of 60.
Put 2 as the next digit of the answer. 
Result so far: 3957.9052
If we take 190 away from 250, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Going ahead to step 11:
When dividing 600 by 95, we get 6 with a remainder of 30.
Use 6 as the next digit of our solution. 
Result so far: 3957.90526
The remainder is 30 after subtracting 570 from 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 12:
If we divide 300 by 95, we get 3 and a remainder of 15.
The next digit of our result is 3. 
Result so far: 3957.905263
If we subtract 285 from 300, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 13:
The number 95 fits into 150 1 times, leaving a remainder of 55.
Write down 1 as next digit of the result. 
Result so far: 3957.9052631
Subtract 95 from 150 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Moving on to step 14:
95 can be fit into 550 5 times, resulting in a remainder of 75.
Record the quotient 5 as the next digit in the result. 
Result so far: 3957.90526315
Subtract 475 from 550 to get 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

The quotient of the division is 3957.90526315, and the remainder is 7.5e-08.