355588 ÷ 76 
Our goal is to divide 355588 by 76.

Step 1:
When dividing 3 by 76, we get 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 76

Moving on to step 2:
76 goes into 35 0 times with a remainder of 35.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 35 and we're left with 35.
Take the next digit (5) from the dividend and append it to 35, then repeat: 355 / 76

Let's proceed to step 3:
76 goes into 355 4 times with a remainder of 51.
Write down 4 as next digit of the result. 
Result so far: 4.0
Subtract 304 from 355 to get 51.
Fetch the next digit (5) from the dividend, attach it to 51 and continue: 515 / 76

Step 4:
The number 76 fits into 515 6 times, leaving a remainder of 59.
Write down 6 as next digit of the result. 
Result so far: 46.0
Deduct 456 from 515 and we're left with 59.
Take the next digit (8) from the dividend and append it to 59, then repeat: 598 / 76

Moving on to step 5:
The number 76 fits into 598 7 times, leaving a remainder of 66.
The next digit of our result is 7. 
Result so far: 467.0
The remainder is 66 after subtracting 532 from 598.
Take the next digit (8) from the dividend and append it to 66, then repeat: 668 / 76

Step 6:
76 can be fit into 668 8 times, resulting in a remainder of 60.
Write down 8 as next digit of the result. 
Result so far: 4678.0
Subtract 608 from 668 to get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Advancing to step 7:
76 can be fit into 600 7 times, resulting in a remainder of 68.
Put 7 as the next digit of the answer. 
Result so far: 4678.7
The remainder is 68 after subtracting 532 from 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Going ahead to step 8:
The number 76 fits into 680 8 times, leaving a remainder of 72.
The next digit of our result is 8. 
Result so far: 4678.78
Subtracting 608 from 680 leaves us with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Let's proceed to step 9:
720 divided by 76 is 9 with a remainder of 36.
Record the quotient 9 as the next digit in the result. 
Result so far: 4678.789
If we take 684 away from 720, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 10:
When dividing 360 by 76, we get 4 with a remainder of 56.
The next digit of our result is 4. 
Result so far: 4678.7894
Deduct 304 from 360 and we're left 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.

On to step 11:
If we divide 560 by 76, we get 7 and a remainder of 28.
Write down 7 as next digit of the result. 
Result so far: 4678.78947
Deduct 532 from 560 and we're left with 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 12:
76 goes into 280 3 times with a remainder of 52.
Record the quotient 3 as the next digit in the result. 
Result so far: 4678.789473
The remainder is 52 after subtracting 228 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Advancing to step 13:
76 goes into 520 6 times with a remainder of 64.
Use 6 as the next digit of our solution. 
Result so far: 4678.7894736
Subtract 456 from 520 to get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Moving on to step 14:
76 goes into 640 8 times with a remainder of 32.
Write down 8 as next digit of the result. 
Result so far: 4678.78947368
If we take 608 away from 640, we end up 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.

The quotient of the division is 4678.78947368, and the remainder is 3.2e-08.