What is 45 divided by 3 using long division

What is 45 divided by 3 using long division?

The Correct Answer and Explanation is:

To divide 45 by 3 using long division, follow these steps:

Step 1: Set Up the Long Division

Start by writing 45 (the dividend) inside the long division bracket and 3 (the divisor) outside it:

   ______
3 | 45

Step 2: Determine How Many Times the Divisor Fits into the Dividend

Next, determine how many times 3 can go into 4 (the first digit of 45). Since 3 fits into 4 one time, we write 1 above the division bar:

   1
   ______
3 | 45

Step 3: Multiply and Subtract

Now, multiply 1 (the quotient we just found) by 3 (the divisor) and write the result (3) below 4:

   1
   ______
3 | 45
    -3

Subtract 3 from 4, which gives us 1. Write this result below the 3:

   1
   ______
3 | 45
    -3
    ----
     1

Step 4: Bring Down the Next Digit

Next, bring down the next digit of the dividend, which is 5, next to the 1, creating the number 15:

   1
   ______
3 | 45
    -3
    ----
     15

Step 5: Determine How Many Times the Divisor Fits into the New Number

Now, determine how many times 3 can go into 15. Since 3 fits into 15 five times, write 5 above the division bar next to the 1:

   15
   ______
3 | 45
    -3
    ----
     15

Step 6: Multiply and Subtract Again

Multiply 5 by 3 to get 15, and write this below the 15:

   15
   ______
3 | 45
    -3
    ----
     15
    -15

Subtract 15 from 15, which gives you 0. Write this below the line:

   15
   ______
3 | 45
    -3
    ----
     15
    -15
    ----
      0

Conclusion

The division is complete. The final answer is 15, meaning that 45 divided by 3 equals 15. This process demonstrates the steps involved in long division: setting up the problem, estimating how many times the divisor fits into the dividend, multiplying, and subtracting until all digits have been brought down. Long division is a systematic way to handle larger numbers and can be applied to many different divisions.