Solve 169/30approx

$$\frac { 169 } { 30 } \approx$$

Evaluate

$$\frac{169}{30}\approx 5.633333333$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 169

$$\begin{array}{l}\phantom{30)}\phantom{1}\\30\overline{)169}\\\end{array}$$

Since 1 is less than 30, use the next digit 6 from dividend 169 and add 0 to the quotient

$$\begin{array}{l}\phantom{30)}0\phantom{2}\\30\overline{)169}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 169

$$\begin{array}{l}\phantom{30)}0\phantom{3}\\30\overline{)169}\\\end{array}$$

Since 16 is less than 30, use the next digit 9 from dividend 169 and add 0 to the quotient

$$\begin{array}{l}\phantom{30)}00\phantom{4}\\30\overline{)169}\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 169

$$\begin{array}{l}\phantom{30)}00\phantom{5}\\30\overline{)169}\\\end{array}$$

Find closest multiple of 30 to 169. We see that 5 \times 30 = 150 is the nearest. Now subtract 150 from 169 to get reminder 19. Add 5 to quotient.

$$\begin{array}{l}\phantom{30)}005\phantom{6}\\30\overline{)169}\\\phantom{30)}\underline{\phantom{}150\phantom{}}\\\phantom{30)9}19\\\end{array}$$

Since 19 is less than 30, stop the division. The reminder is 19. The topmost line 005 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.

$$\text{Quotient: }5 \text{Reminder: }19$$

Factor

$$\frac{13 ^ {2}}{2 \cdot 3 \cdot 5} = 5\frac{19}{30} = 5.633333333333334$$