Question

What is 4123 division by 78 with a remainder?

Answer 1

To determine 4123 divided by 78 with a remainder, we use long division, which reveals that 78 goes into 4123 a total of 52 times with a remainder of 67.

Step-by-step explanation:

The question involves division with a remainder, an elementary concept in arithmetic. To find the quotient and remainder when 4123 is divided by 78, we perform the following steps using long division:

1. Divide the first digit of the dividend (4123) by 78. Since 78 does not go into 4, we consider the first two digits '41'.
2. 78 goes into 41 zero (0) times, so we consider the first three digits '412'. 78 goes into 412 five (5) times.
3. Multiply 78 by 5 and subtract the result from 412. This gives the partial remainder.
4. Bring down the next digit of the dividend to beside the partial remainder and repeat the process until there are no more digits to bring down.
5. The final number left over is the remainder after division.

After completing the long division process, we find that 78 goes into 4123 fifty-two (52) times with a remainder of 67. Therefore, 4123 ÷ 78 equals 52 with a remainder of 67.