We're dividing 350640 by 87 
Our goal is to divide 350640 by 87.

Let's proceed to step 1:
The number 87 fits into 3 0 times, leaving a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Fetch the next digit (5) from the dividend, attach it to 3 and continue: 35 / 87

On to step 2:
87 goes into 35 0 times with a remainder of 35.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 35, we end up with 35.
Take the next digit (0) from the dividend and append it to 35, then repeat: 350 / 87

On to step 3:
87 can be fit into 350 4 times, resulting in a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Subtracting 348 from 350 leaves us with 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 87

Let's proceed to step 4:
When dividing 26 by 87, we get 0 with a remainder of 26.
Use 0 as the next digit of our solution. 
Result so far: 40.0
Deduct 0 from 26 and we're left with 26.
Take the next digit (4) from the dividend and append it to 26, then repeat: 264 / 87

Step 5:
87 can be fit into 264 3 times, resulting in a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 403.0
Deduct 261 from 264 and we're left with 3.
Take the next digit (0) from the dividend and append it to 3, then repeat: 30 / 87

Going ahead to step 6:
The number 87 fits into 30 0 times, leaving a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 4030.0
If we take 0 away from 30, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 7:
87 goes into 300 3 times with a remainder of 39.
Use 3 as the next digit of our solution. 
Result so far: 4030.3
If we take 261 away from 300, we end up with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Moving on to step 8:
87 can be fit into 390 4 times, resulting in a remainder of 42.
The number 4 becomes the next digit in our result. 
Result so far: 4030.34
Deduct 348 from 390 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Moving on to step 9:
If we divide 420 by 87, we get 4 and a remainder of 72.
The next digit of our result is 4. 
Result so far: 4030.344
Subtract 348 from 420 to get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

After the division, we end up with 4030.344 and a remainder of 0.0072.