Solve 524/54

$$\frac { 524 } { 54 }$$

Evaluate

$$\frac{262}{27}\approx 9.703703704$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 524

$$\begin{array}{l}\phantom{54)}\phantom{1}\\54\overline{)524}\\\end{array}$$

Since 5 is less than 54, use the next digit 2 from dividend 524 and add 0 to the quotient

$$\begin{array}{l}\phantom{54)}0\phantom{2}\\54\overline{)524}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 524

$$\begin{array}{l}\phantom{54)}0\phantom{3}\\54\overline{)524}\\\end{array}$$

Since 52 is less than 54, use the next digit 4 from dividend 524 and add 0 to the quotient

$$\begin{array}{l}\phantom{54)}00\phantom{4}\\54\overline{)524}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 524

$$\begin{array}{l}\phantom{54)}00\phantom{5}\\54\overline{)524}\\\end{array}$$

Find closest multiple of 54 to 524. We see that 9 \times 54 = 486 is the nearest. Now subtract 486 from 524 to get reminder 38. Add 9 to quotient.

$$\begin{array}{l}\phantom{54)}009\phantom{6}\\54\overline{)524}\\\phantom{54)}\underline{\phantom{}486\phantom{}}\\\phantom{54)9}38\\\end{array}$$

Since 38 is less than 54, stop the division. The reminder is 38. The topmost line 009 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 9.

$$\text{Quotient: }9 \text{Reminder: }38$$

Factor

$$\frac{2 \cdot 131}{3 ^ {3}} = 9\frac{19}{27} = 9.703703703703704$$