76623 ÷ 34 
Our goal is to divide 76623 by 34.

Step 1:
34 can be fit into 7 0 times, resulting in a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Include the next digit (6) from the dividend after 7, then repeat: 76 / 34

On to step 2:
The number 34 fits into 76 2 times, leaving a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
If we subtract 68 from 76, we get 8.
Fetch the next digit (6) from the dividend, attach it to 8 and continue: 86 / 34

Advancing to step 3:
34 can be fit into 86 2 times, resulting in a remainder of 18.
The next digit of our result is 2. 
Result so far: 22.0
If we take 68 away from 86, we end up with 18.
Include the next digit (2) from the dividend after 18, then repeat: 182 / 34

Let's proceed to step 4:
34 can be fit into 182 5 times, resulting in a remainder of 12.
The number 5 becomes the next digit in our result. 
Result so far: 225.0
Subtract 170 from 182 to get 12.
Fetch the next digit (3) from the dividend, attach it to 12 and continue: 123 / 34

Step 5:
If we divide 123 by 34, we get 3 and a remainder of 21.
The next digit of our result is 3. 
Result so far: 2253.0
The remainder is 21 after subtracting 102 from 123.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 6:
34 goes into 210 6 times with a remainder of 6.
The next digit of our result is 6. 
Result so far: 2253.6
If we take 204 away from 210, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 7:
60 divided by 34 is 1 with a remainder of 26.
Use 1 as the next digit of our solution. 
Result so far: 2253.61
If we take 34 away from 60, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 8:
34 can be fit into 260 7 times, resulting in a remainder of 22.
The next digit of our result is 7. 
Result so far: 2253.617
The remainder is 22 after subtracting 238 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 9:
34 goes into 220 6 times with a remainder of 16.
The next digit of our result is 6. 
Result so far: 2253.6176
The remainder is 16 after subtracting 204 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 10:
160 divided by 34 is 4 with a remainder of 24.
Record the quotient 4 as the next digit in the result. 
Result so far: 2253.61764
Deduct 136 from 160 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 11:
34 goes into 240 7 times with a remainder of 2.
Record the quotient 7 as the next digit in the result. 
Result so far: 2253.617647
The remainder is 2 after subtracting 238 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 12:
34 can be fit into 20 0 times, resulting in a remainder of 20.
The next digit of our result is 0. 
Result so far: 2253.617647
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 13:
34 can be fit into 200 5 times, resulting in a remainder of 30.
Put 5 as the next digit of the answer. 
Result so far: 2253.61764705
Deduct 170 from 200 and we're left 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.

The final result is 2253.61764705 with a remainder of 3e-08.