High School

Use long division to determine the quotient of 2363 divided by 139.

Answer :

Final answer:

To find the quotient of 2363 divided by 139, perform long division steps and you'll find that 139 fits into 2363 a total of 17 times with no remainder.

Explanation:

Long division is a method of dividing two numbers by repeatedly subtracting multiples of the divisor from the dividend. It involves writing the dividend, divisor, quotient, and remainder in a specific layout, then performing the division digit by digit until the dividend is fully divided or a desired level of precision is reached.

To determine the quotient of 2363 divided by 139 using long division, we will divide 2363 by 139 in a step-by-step process:

  1. First, we see that 139 does not fit into 2 or 23, but it fits into 236 once. So we place a 1 above the third digit of the dividend.
  2. We then multiply 1 by 139 and write 139 below the 236.
  3. Subtracting 139 from 236, we get 97.
  4. We drop down the next digit of the dividend which is 3, making it 973.
  5. 139 goes into 973 six times. We write a 6 above the last digit of the dividend.
  6. Multiplying 139 by 6, we get 834, which we subtract from 973 to get a remainder of 139.
  7. Since 139 is the divisor and the remainder is equal to the divisor, it means the division process is completed with an additional count so we add 1 to the quotient.

The quotient of 2363 divided by 139 is thus 17 with a remainder of 0.