We're dividing 3876541 by 971 
Let's see how many times 971 fits into 3876541.

On to step 1:
If we divide 3 by 971, we get 0 and a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Take the next digit (8) from the dividend and append it to 3, then repeat: 38 / 971

Let's proceed to step 2:
971 goes into 38 0 times with a remainder of 38.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 38 after subtracting 0 from 38.
Take the next digit (7) from the dividend and append it to 38, then repeat: 387 / 971

On to step 3:
387 divided by 971 is 0 with a remainder of 387.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 387 after subtracting 0 from 387.
Bring next digit (6) of the dividend behind the 387 and repeat the process: 3876 / 971

On to step 4:
If we divide 3876 by 971, we get 3 and a remainder of 963.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Subtract 2913 from 3876 to get 963.
Grab the next digit (5) from the dividend, add it to 963, then carry on: 9635 / 971

Let's proceed to step 5:
The number 971 fits into 9635 9 times, leaving a remainder of 896.
Write down 9 as next digit of the result. 
Result so far: 39.0
If we take 8739 away from 9635, we end up with 896.
Include the next digit (4) from the dividend after 896, then repeat: 8964 / 971

On to step 6:
971 goes into 8964 9 times with a remainder of 225.
The number 9 becomes the next digit in our result. 
Result so far: 399.0
If we take 8739 away from 8964, we end up with 225.
Bring next digit (1) of the dividend behind the 225 and repeat the process: 2251 / 971

Going ahead to step 7:
If we divide 2251 by 971, we get 2 and a remainder of 309.
The number 2 becomes the next digit in our result. 
Result so far: 3992.0
The remainder is 309 after subtracting 1942 from 2251.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3090, and continue the process.

Advancing to step 8:
When dividing 3090 by 971, we get 3 with a remainder of 177.
Use 3 as the next digit of our solution. 
Result so far: 3992.3
Subtract 2913 from 3090 to get 177.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1770, and continue the process.

Moving on to step 9:
971 goes into 1770 1 times with a remainder of 799.
Record the quotient 1 as the next digit in the result. 
Result so far: 3992.31
If we subtract 971 from 1770, we get 799.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7990, and continue the process.

Let's proceed to step 10:
971 goes into 7990 8 times with a remainder of 222.
Put 8 as the next digit of the answer. 
Result so far: 3992.318
If we take 7768 away from 7990, we end up with 222.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2220, and continue the process.

Advancing to step 11:
The number 971 fits into 2220 2 times, leaving a remainder of 278.
Record the quotient 2 as the next digit in the result. 
Result so far: 3992.3182
The remainder is 278 after subtracting 1942 from 2220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2780, and continue the process.

Let's proceed to step 12:
2780 divided by 971 is 2 with a remainder of 838.
Record the quotient 2 as the next digit in the result. 
Result so far: 3992.31822
Subtracting 1942 from 2780 leaves us with 838.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8380, and continue the process.

The quotient of the division is 3992.31822, and the remainder is 0.000838.