We're dividing 389669 by 51 
Our goal is to divide 389669 by 51.

Moving on to step 1:
51 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Append the next digit (8) from the dividend to 3 and continue with: 38 / 51

Advancing to step 2:
38 divided by 51 is 0 with a remainder of 38.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 38 leaves us with 38.
Append the next digit (9) from the dividend to 38 and continue with: 389 / 51

Moving on to step 3:
51 can be fit into 389 7 times, resulting in a remainder of 32.
Write down 7 as next digit of the result. 
Result so far: 7.0
If we subtract 357 from 389, we get 32.
Take the next digit (6) from the dividend and append it to 32, then repeat: 326 / 51

Let's proceed to step 4:
51 goes into 326 6 times with a remainder of 20.
Write down 6 as next digit of the result. 
Result so far: 76.0
Subtracting 306 from 326 leaves us with 20.
Grab the next digit (6) from the dividend, add it to 20, then carry on: 206 / 51

Let's proceed to step 5:
51 can be fit into 206 4 times, resulting in a remainder of 2.
The next digit of our result is 4. 
Result so far: 764.0
If we subtract 204 from 206, we get 2.
Take the next digit (9) from the dividend and append it to 2, then repeat: 29 / 51

Moving on to step 6:
When dividing 29 by 51, we get 0 with a remainder of 29.
Use 0 as the next digit of our solution. 
Result so far: 7640.0
Subtracting 0 from 29 leaves us with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Step 7:
The number 51 fits into 290 5 times, leaving a remainder of 35.
The next digit of our result is 5. 
Result so far: 7640.5
Subtracting 255 from 290 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 8:
If we divide 350 by 51, we get 6 and a remainder of 44.
Put 6 as the next digit of the answer. 
Result so far: 7640.56
If we take 306 away from 350, we end up with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Advancing to step 9:
When dividing 440 by 51, we get 8 with a remainder of 32.
Put 8 as the next digit of the answer. 
Result so far: 7640.568
Subtract 408 from 440 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 10:
51 goes into 320 6 times with a remainder of 14.
Use 6 as the next digit of our solution. 
Result so far: 7640.5686
Deduct 306 from 320 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 11:
51 can be fit into 140 2 times, resulting in a remainder of 38.
Use 2 as the next digit of our solution. 
Result so far: 7640.56862
Subtracting 102 from 140 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 12:
When dividing 380 by 51, we get 7 with a remainder of 23.
The number 7 becomes the next digit in our result. 
Result so far: 7640.568627
The remainder is 23 after subtracting 357 from 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Step 13:
51 goes into 230 4 times with a remainder of 26.
Record the quotient 4 as the next digit in the result. 
Result so far: 7640.5686274
Subtracting 204 from 230 leaves us 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.

Advancing to step 14:
260 divided by 51 is 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 7640.56862745
If we take 255 away from 260, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Our division results in 7640.56862745 with a remaining 5e-09.