Solve 540/22

$$\frac{ 540 }{ 22 }$$

Evaluate

$$\frac{270}{11}\approx 24.545454545$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 540

$$\begin{array}{l}\phantom{22)}\phantom{1}\\22\overline{)540}\\\end{array}$$

Since 5 is less than 22, use the next digit 4 from dividend 540 and add 0 to the quotient

$$\begin{array}{l}\phantom{22)}0\phantom{2}\\22\overline{)540}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 540

$$\begin{array}{l}\phantom{22)}0\phantom{3}\\22\overline{)540}\\\end{array}$$

Find closest multiple of 22 to 54. We see that 2 \times 22 = 44 is the nearest. Now subtract 44 from 54 to get reminder 10. Add 2 to quotient.

$$\begin{array}{l}\phantom{22)}02\phantom{4}\\22\overline{)540}\\\phantom{22)}\underline{\phantom{}44\phantom{9}}\\\phantom{22)}10\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 540

$$\begin{array}{l}\phantom{22)}02\phantom{5}\\22\overline{)540}\\\phantom{22)}\underline{\phantom{}44\phantom{9}}\\\phantom{22)}100\\\end{array}$$

Find closest multiple of 22 to 100. We see that 4 \times 22 = 88 is the nearest. Now subtract 88 from 100 to get reminder 12. Add 4 to quotient.

$$\begin{array}{l}\phantom{22)}024\phantom{6}\\22\overline{)540}\\\phantom{22)}\underline{\phantom{}44\phantom{9}}\\\phantom{22)}100\\\phantom{22)}\underline{\phantom{9}88\phantom{}}\\\phantom{22)9}12\\\end{array}$$

Since 12 is less than 22, stop the division. The reminder is 12. The topmost line 024 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 24.

$$\text{Quotient: }24 \text{Reminder: }12$$

Factor

$$\frac{2 \cdot 3 ^ {3} \cdot 5}{11} = 24\frac{6}{11} = 24.545454545454547$$