How do you divide 1000000 by 80 in long division?

How do you divide 1000000 by 80 in long division?

To divide 1,000,000 by 80 using long division, begin by dividing the leftmost digit (1) by 80, which equals 1. Write this as the quotient. Then multiply 80 by 1, subtract it from 1,000,000, and bring down the next digit (0). Repeat these steps until all digits are processed. The quotient is 12,500.

Dividing Large Numbers with Long Division

Long division is a process that can be used to divide large numbers that cannot easily be divided in your head. It provides an organized way to break down a division problem step-by-step while keeping track of any remainders. Knowing how to do long division is an essential math skill that comes in handy for tasks from math homework to finances.

Let’s walk through how to divide 1,000,000 by 80 using the long division process.

First, write out the dividend (1,000,000) on the inside of the division bracket and the divisor (80) on the outside. Place a straight line between them to begin your work.

Look at the first digit in the dividend, which is the 1 in 1,000,000. Determine how many times the divisor 80 goes into 1. Since 80 does not go into 1 at all, write a 0 above the 1 in the quotient.

Next, bring down the 0 to make the number you are now dividing 10. Determine how many times 80 goes into 100. The answer is 1 time. Write the 1 in the quotient above the 0. Multiply 1 and 80 and write the product, 80, underneath the 100 in the dividend.

Subtract 80 from 100 to get a remainder of 20. Write the 20 underneath the dividend. Bring down the next digit, 0, from the dividend to make the new number you are dividing 200.

Determine how many times 80 goes into 200, which is 2 times. Write the 2 in the quotient above the 1. Multiply 80 by 2 to get 160. Write 160 under the 200 in the dividend and subtract to find a remainder of 40.

Continue this process – bringing down digits from the dividend to create new numbers to divide by 80 – until there are no digits left in the dividend. The full long division will result in a quotient of 12,500 with 0 remainder.

So in long division, 1,000,000 divided by 80 equals 12,500. The step-by-step organized structure allows you to divide large numbers efficiently while keeping track of the subtraction and remainder at each step. With practice, long division of multi-digit numbers becomes quick and easy. The process can be adapted for dividing by any divisor, making long division a foundational math skill for life.