We're dividing 3876153 by 825 
Let's see how many times 825 fits into 3876153.

Moving on to step 1:
If we divide 3 by 825, we get 0 and a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Include the next digit (8) from the dividend after 3, then repeat: 38 / 825

Let's proceed to step 2:
825 can be fit into 38 0 times, resulting in a remainder of 38.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 38, we get 38.
Append the next digit (7) from the dividend to 38 and continue with: 387 / 825

Step 3:
If we divide 387 by 825, we get 0 and a remainder of 387.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 387 to get 387.
Grab the next digit (6) from the dividend, add it to 387, then carry on: 3876 / 825

Going ahead to step 4:
When dividing 3876 by 825, we get 4 with a remainder of 576.
Write down 4 as next digit of the result. 
Result so far: 4.0
If we subtract 3300 from 3876, we get 576.
Take the next digit (1) from the dividend and append it to 576, then repeat: 5761 / 825

On to step 5:
When dividing 5761 by 825, we get 6 with a remainder of 811.
Put 6 as the next digit of the answer. 
Result so far: 46.0
The remainder is 811 after subtracting 4950 from 5761.
Bring next digit (5) of the dividend behind the 811 and repeat the process: 8115 / 825

Let's proceed to step 6:
The number 825 fits into 8115 9 times, leaving a remainder of 690.
Put 9 as the next digit of the answer. 
Result so far: 469.0
Deduct 7425 from 8115 and we're left with 690.
Append the next digit (3) from the dividend to 690 and continue with: 6903 / 825

Step 7:
825 can be fit into 6903 8 times, resulting in a remainder of 303.
The number 8 becomes the next digit in our result. 
Result so far: 4698.0
If we take 6600 away from 6903, we end up with 303.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3030, and continue the process.

Moving on to step 8:
825 can be fit into 3030 3 times, resulting in a remainder of 555.
Record the quotient 3 as the next digit in the result. 
Result so far: 4698.3
The remainder is 555 after subtracting 2475 from 3030.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5550, and continue the process.

Step 9:
825 goes into 5550 6 times with a remainder of 600.
Put 6 as the next digit of the answer. 
Result so far: 4698.36
If we subtract 4950 from 5550, we get 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6000, and continue the process.

Step 10:
6000 divided by 825 is 7 with a remainder of 225.
Record the quotient 7 as the next digit in the result. 
Result so far: 4698.367
Subtracting 5775 from 6000 leaves us with 225.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2250, and continue the process.

Moving on to step 11:
2250 divided by 825 is 2 with a remainder of 600.
Record the quotient 2 as the next digit in the result. 
Result so far: 4698.3672
Subtracting 1650 from 2250 leaves us with 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6000, and continue the process.

Going ahead to step 12:
6000 divided by 825 is 7 with a remainder of 225.
Use 7 as the next digit of our solution. 
Result so far: 4698.36727
Subtract 5775 from 6000 to get 225.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2250, and continue the process.

Step 13:
If we divide 2250 by 825, we get 2 and a remainder of 600.
The number 2 becomes the next digit in our result. 
Result so far: 4698.367272
If we take 1650 away from 2250, we end up with 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6000, and continue the process.

Step 14:
825 can be fit into 6000 7 times, resulting in a remainder of 225.
Put 7 as the next digit of the answer. 
Result so far: 4698.3672727
Deduct 5775 from 6000 and we're left with 225.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2250, and continue the process.

Step 15:
825 goes into 2250 2 times with a remainder of 600.
Use 2 as the next digit of our solution. 
Result so far: 4698.36727272
If we take 1650 away from 2250, we end up with 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6000, and continue the process.

After the division, we end up with 4698.36727272 and a remainder of 6e-07.