We're dividing 334351 by 87 
Our goal is to divide 334351 by 87.

Going ahead to step 1:
If we divide 3 by 87, we get 0 and a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 87

Going ahead to step 2:
87 can be fit into 33 0 times, resulting in a remainder of 33.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 33, we get 33.
Append the next digit (4) from the dividend to 33 and continue with: 334 / 87

Going ahead to step 3:
87 can be fit into 334 3 times, resulting in a remainder of 73.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Deduct 261 from 334 and we're left with 73.
Include the next digit (3) from the dividend after 73, then repeat: 733 / 87

Advancing to step 4:
The number 87 fits into 733 8 times, leaving a remainder of 37.
Record the quotient 8 as the next digit in the result. 
Result so far: 38.0
Deduct 696 from 733 and we're left with 37.
Bring next digit (5) of the dividend behind the 37 and repeat the process: 375 / 87

Let's proceed to step 5:
The number 87 fits into 375 4 times, leaving a remainder of 27.
The next digit of our result is 4. 
Result so far: 384.0
Subtracting 348 from 375 leaves us with 27.
Include the next digit (1) from the dividend after 27, then repeat: 271 / 87

Going ahead to step 6:
87 goes into 271 3 times with a remainder of 10.
Use 3 as the next digit of our solution. 
Result so far: 3843.0
Subtract 261 from 271 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 7:
When dividing 100 by 87, we get 1 with a remainder of 13.
The number 1 becomes the next digit in our result. 
Result so far: 3843.1
If we take 87 away from 100, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 8:
The number 87 fits into 130 1 times, leaving a remainder of 43.
Put 1 as the next digit of the answer. 
Result so far: 3843.11
Subtract 87 from 130 to get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

After the division, we end up with 3843.11 and a remainder of 0.043.