Question

divide.
21\overline{)14.7}

Explanation:

Step1: Add a decimal point and zeros to the dividend (14.7) to make it easier to divide. We can write 14.7 as 14.70 (adding a zero doesn't change the value).

Step2: Now, we need to see how many times 21 goes into 147 (since we moved the decimal in the dividend, we can think of it as 14.7 ÷ 21 = 147 ÷ 210). Wait, actually, a better way is to use the standard long division for decimals. Since 21 is larger than 14, we put a zero in the ones place and then move to the tenths place. So, we have 14.7 ÷ 21. We can rewrite this as (14.7 × 10) ÷ (21 × 10) = 147 ÷ 210.

Step3: Now, divide 147 by 210. We know that 210 × 0.7 = 147 (because 210 × 0.7 = 210 × 7/10 = 147). So, 147 ÷ 210 = 0.7.

Answer:

0.7