We look at the division of 25310281 by 376 
We're looking to find how many times 376 goes into 25310281.

Let's proceed to step 1:
If we divide 2 by 376, we get 0 and a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 376

Moving on to step 2:
The number 376 fits into 25 0 times, leaving a remainder of 25.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 25 leaves us with 25.
Append the next digit (3) from the dividend to 25 and continue with: 253 / 376

Going ahead to step 3:
When dividing 253 by 376, we get 0 with a remainder of 253.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 253 and we're left with 253.
Include the next digit (1) from the dividend after 253, then repeat: 2531 / 376

Advancing to step 4:
376 can be fit into 2531 6 times, resulting in a remainder of 275.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
The remainder is 275 after subtracting 2256 from 2531.
Grab the next digit (0) from the dividend, add it to 275, then carry on: 2750 / 376

Going ahead to step 5:
376 goes into 2750 7 times with a remainder of 118.
Use 7 as the next digit of our solution. 
Result so far: 67.0
The remainder is 118 after subtracting 2632 from 2750.
Include the next digit (2) from the dividend after 118, then repeat: 1182 / 376

On to step 6:
376 can be fit into 1182 3 times, resulting in a remainder of 54.
Record the quotient 3 as the next digit in the result. 
Result so far: 673.0
The remainder is 54 after subtracting 1128 from 1182.
Fetch the next digit (8) from the dividend, attach it to 54 and continue: 548 / 376

On to step 7:
548 divided by 376 is 1 with a remainder of 172.
The number 1 becomes the next digit in our result. 
Result so far: 6731.0
Subtract 376 from 548 to get 172.
Grab the next digit (1) from the dividend, add it to 172, then carry on: 1721 / 376

Advancing to step 8:
1721 divided by 376 is 4 with a remainder of 217.
Use 4 as the next digit of our solution. 
Result so far: 67314.0
The remainder is 217 after subtracting 1504 from 1721.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2170, and continue the process.

On to step 9:
376 goes into 2170 5 times with a remainder of 290.
Write down 5 as next digit of the result. 
Result so far: 67314.5
Deduct 1880 from 2170 and we're left with 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2900, and continue the process.

Advancing to step 10:
2900 divided by 376 is 7 with a remainder of 268.
Put 7 as the next digit of the answer. 
Result so far: 67314.57
Subtract 2632 from 2900 to get 268.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2680, and continue the process.

Going ahead to step 11:
When dividing 2680 by 376, we get 7 with a remainder of 48.
Put 7 as the next digit of the answer. 
Result so far: 67314.577
Deduct 2632 from 2680 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

The quotient of the division is 67314.577, and the remainder is 0.0048.