357634 divided by 87 
Let's see how many times 87 fits into 357634.

On to step 1:
If we divide 3 by 87, we get 0 and a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 87

Let's proceed to step 2:
35 divided by 87 is 0 with a remainder of 35.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 35 after subtracting 0 from 35.
Grab the next digit (7) from the dividend, add it to 35, then carry on: 357 / 87

Step 3:
If we divide 357 by 87, we get 4 and a remainder of 9.
Put 4 as the next digit of the answer. 
Result so far: 4.0
If we take 348 away from 357, we end up with 9.
Bring next digit (6) of the dividend behind the 9 and repeat the process: 96 / 87

Advancing to step 4:
87 goes into 96 1 times with a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 41.0
Subtract 87 from 96 to get 9.
Grab the next digit (3) from the dividend, add it to 9, then carry on: 93 / 87

Let's proceed to step 5:
87 can be fit into 93 1 times, resulting in a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 411.0
Subtracting 87 from 93 leaves us with 6.
Fetch the next digit (4) from the dividend, attach it to 6 and continue: 64 / 87

Advancing to step 6:
When dividing 64 by 87, we get 0 with a remainder of 64.
Record the quotient 0 as the next digit in the result. 
Result so far: 4110.0
Deduct 0 from 64 and we're left with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Let's proceed to step 7:
87 can be fit into 640 7 times, resulting in a remainder of 31.
Record the quotient 7 as the next digit in the result. 
Result so far: 4110.7
Subtract 609 from 640 to get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Moving on to step 8:
310 divided by 87 is 3 with a remainder of 49.
Put 3 as the next digit of the answer. 
Result so far: 4110.73
The remainder is 49 after subtracting 261 from 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Moving on to step 9:
If we divide 490 by 87, we get 5 and a remainder of 55.
The next digit of our result is 5. 
Result so far: 4110.735
Subtract 435 from 490 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Advancing to step 10:
550 divided by 87 is 6 with a remainder of 28.
Put 6 as the next digit of the answer. 
Result so far: 4110.7356
Subtract 522 from 550 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 11:
280 divided by 87 is 3 with a remainder of 19.
The next digit of our result is 3. 
Result so far: 4110.73563
If we subtract 261 from 280, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Moving on to step 12:
The number 87 fits into 190 2 times, leaving a remainder of 16.
Use 2 as the next digit of our solution. 
Result so far: 4110.735632
If we subtract 174 from 190, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 13:
160 divided by 87 is 1 with a remainder of 73.
Use 1 as the next digit of our solution. 
Result so far: 4110.7356321
Subtract 87 from 160 to get 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Moving on to step 14:
If we divide 730 by 87, we get 8 and a remainder of 34.
Put 8 as the next digit of the answer. 
Result so far: 4110.73563218
Deduct 696 from 730 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

In conclusion, the division gives 4110.73563218 with a balance of 3.4e-08.