We're dividing 354677 by 87 
Our goal is to divide 354677 by 87.

Advancing to step 1:
87 can be fit into 3 0 times, resulting in 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.
Grab the next digit (5) from the dividend, add it to 3, then carry on: 35 / 87

Step 2:
If we divide 35 by 87, we get 0 and a remainder of 35.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 35, we get 35.
Grab the next digit (4) from the dividend, add it to 35, then carry on: 354 / 87

Moving on to step 3:
When dividing 354 by 87, we get 4 with a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
The remainder is 6 after subtracting 348 from 354.
Fetch the next digit (6) from the dividend, attach it to 6 and continue: 66 / 87

Advancing to step 4:
The number 87 fits into 66 0 times, leaving a remainder of 66.
Put 0 as the next digit of the answer. 
Result so far: 40.0
The remainder is 66 after subtracting 0 from 66.
Grab the next digit (7) from the dividend, add it to 66, then carry on: 667 / 87

Step 5:
If we divide 667 by 87, we get 7 and a remainder of 58.
The next digit of our result is 7. 
Result so far: 407.0
The remainder is 58 after subtracting 609 from 667.
Include the next digit (7) from the dividend after 58, then repeat: 587 / 87

Moving on to step 6:
87 goes into 587 6 times with a remainder of 65.
Write down 6 as next digit of the result. 
Result so far: 4076.0
Subtract 522 from 587 to get 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Advancing to step 7:
If we divide 650 by 87, we get 7 and a remainder of 41.
The number 7 becomes the next digit in our result. 
Result so far: 4076.7
Deduct 609 from 650 and we're left with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Let's proceed to step 8:
The number 87 fits into 410 4 times, leaving a remainder of 62.
The next digit of our result is 4. 
Result so far: 4076.74
Subtract 348 from 410 to get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Going ahead to step 9:
87 can be fit into 620 7 times, resulting in a remainder of 11.
The next digit of our result is 7. 
Result so far: 4076.747
If we take 609 away from 620, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 10:
If we divide 110 by 87, we get 1 and a remainder of 23.
Put 1 as the next digit of the answer. 
Result so far: 4076.7471
If we take 87 away from 110, we end up with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

On to step 11:
230 divided by 87 is 2 with a remainder of 56.
Record the quotient 2 as the next digit in the result. 
Result so far: 4076.74712
If we take 174 away from 230, we end up with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Let's proceed to step 12:
If we divide 560 by 87, we get 6 and a remainder of 38.
Record the quotient 6 as the next digit in the result. 
Result so far: 4076.747126
The remainder is 38 after subtracting 522 from 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 13:
87 can be fit into 380 4 times, resulting in a remainder of 32.
Use 4 as the next digit of our solution. 
Result so far: 4076.7471264
Deduct 348 from 380 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 14:
When dividing 320 by 87, we get 3 with a remainder of 59.
Use 3 as the next digit of our solution. 
Result so far: 4076.74712643
The remainder is 59 after subtracting 261 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

The quotient of the division is 4076.74712643, and the remainder is 5.9e-08.