Divide using long division. Check the result. See Example 2. Reference Examp...

Divide using long division. Check the result. See Example 2.

Reference Example 2

Divide using long division: 2,514 ÷ 6. Check the result.

Strategy We will write the problem in long division form and follow a four-step process: estimate, multiply, subtract, and bring down.

Why The repeated subtraction process would take too long to perform and the related multiplication statement (? ·6 = 2,514) is too difficult to solve.

Solution

To help you understand the process, each step of this division is explained separately. Your solution need only look like the last step. We write the problem in the form . The quotient will appear above the long division symbol. Since 6 will not divide 2,

we divide 25 by 6.

Ask: “How many times will 6 divide 25?” We estimate that 25 ÷ 6 is about 4, and write the 4 in the hundreds column above the long division symbol.