We're dividing 76674 by 51 
We want to figure out the number of times 76674 can be divided by 51.

Advancing to step 1:
If we divide 7 by 51, we get 0 and a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Take the next digit (6) from the dividend and append it to 7, then repeat: 76 / 51

Advancing to step 2:
If we divide 76 by 51, we get 1 and a remainder of 25.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 25 after subtracting 51 from 76.
Append the next digit (6) from the dividend to 25 and continue with: 256 / 51

Step 3:
If we divide 256 by 51, we get 5 and a remainder of 1.
The next digit of our result is 5. 
Result so far: 15.0
Subtracting 255 from 256 leaves us with 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 51

Going ahead to step 4:
17 divided by 51 is 0 with a remainder of 17.
Put 0 as the next digit of the answer. 
Result so far: 150.0
If we subtract 0 from 17, we get 17.
Append the next digit (4) from the dividend to 17 and continue with: 174 / 51

Advancing to step 5:
The number 51 fits into 174 3 times, leaving a remainder of 21.
The next digit of our result is 3. 
Result so far: 1503.0
Subtracting 153 from 174 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 6:
If we divide 210 by 51, we get 4 and a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 1503.4
Subtracting 204 from 210 leaves us 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.

On to step 7:
60 divided by 51 is 1 with a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 1503.41
If we take 51 away from 60, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 8:
51 goes into 90 1 times with a remainder of 39.
Put 1 as the next digit of the answer. 
Result so far: 1503.411
If we take 51 away from 90, 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.

After the division, we end up with 1503.411 and a remainder of 0.0039.