407669 ÷ 76 
Let's see how many times 76 fits into 407669.

Step 1:
When dividing 4 by 76, we get 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Fetch the next digit (0) from the dividend, attach it to 4 and continue: 40 / 76

On to step 2:
The number 76 fits into 40 0 times, leaving a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 40 to get 40.
Include the next digit (7) from the dividend after 40, then repeat: 407 / 76

Moving on to step 3:
407 divided by 76 is 5 with a remainder of 27.
The next digit of our result is 5. 
Result so far: 5.0
Deduct 380 from 407 and we're left with 27.
Append the next digit (6) from the dividend to 27 and continue with: 276 / 76

Step 4:
76 can be fit into 276 3 times, resulting in a remainder of 48.
Put 3 as the next digit of the answer. 
Result so far: 53.0
The remainder is 48 after subtracting 228 from 276.
Grab the next digit (6) from the dividend, add it to 48, then carry on: 486 / 76

Going ahead to step 5:
76 goes into 486 6 times with a remainder of 30.
The next digit of our result is 6. 
Result so far: 536.0
Deduct 456 from 486 and we're left with 30.
Grab the next digit (9) from the dividend, add it to 30, then carry on: 309 / 76

Going ahead to step 6:
309 divided by 76 is 4 with a remainder of 5.
The next digit of our result is 4. 
Result so far: 5364.0
Subtracting 304 from 309 leaves us 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.

Going ahead to step 7:
50 divided by 76 is 0 with a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 5364.0
The remainder is 50 after subtracting 0 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 8:
When dividing 500 by 76, we get 6 with a remainder of 44.
Put 6 as the next digit of the answer. 
Result so far: 5364.06
Deduct 456 from 500 and we're left 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.

Step 9:
76 goes into 440 5 times with a remainder of 60.
The next digit of our result is 5. 
Result so far: 5364.065
If we take 380 away from 440, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Let's proceed to step 10:
When dividing 600 by 76, we get 7 with a remainder of 68.
Write down 7 as next digit of the result. 
Result so far: 5364.0657
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.

Moving on to step 11:
When dividing 680 by 76, we get 8 with a remainder of 72.
Record the quotient 8 as the next digit in the result. 
Result so far: 5364.06578
Deduct 608 from 680 and we're left 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.

Going ahead to step 12:
76 goes into 720 9 times with a remainder of 36.
Write down 9 as next digit of the result. 
Result so far: 5364.065789
If we subtract 684 from 720, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 13:
76 can be fit into 360 4 times, resulting in a remainder of 56.
Put 4 as the next digit of the answer. 
Result so far: 5364.0657894
If we subtract 304 from 360, we get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Moving on to step 14:
When dividing 560 by 76, we get 7 with a remainder of 28.
The next digit of our result is 7. 
Result so far: 5364.06578947
The remainder is 28 after subtracting 532 from 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

In conclusion, the division gives 5364.06578947 with a balance of 2.8e-08.