Solve 729/25=

$$\frac { 729 } { 25 } =$$

Evaluate

$$\frac{729}{25}=29.16$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 729

$$\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)729}\\\end{array}$$

Since 7 is less than 25, use the next digit 2 from dividend 729 and add 0 to the quotient

$$\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)729}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 729

$$\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)729}\\\end{array}$$

Find closest multiple of 25 to 72. We see that 2 \times 25 = 50 is the nearest. Now subtract 50 from 72 to get reminder 22. Add 2 to quotient.

$$\begin{array}{l}\phantom{25)}02\phantom{4}\\25\overline{)729}\\\phantom{25)}\underline{\phantom{}50\phantom{9}}\\\phantom{25)}22\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 729

$$\begin{array}{l}\phantom{25)}02\phantom{5}\\25\overline{)729}\\\phantom{25)}\underline{\phantom{}50\phantom{9}}\\\phantom{25)}229\\\end{array}$$

Find closest multiple of 25 to 229. We see that 9 \times 25 = 225 is the nearest. Now subtract 225 from 229 to get reminder 4. Add 9 to quotient.

$$\begin{array}{l}\phantom{25)}029\phantom{6}\\25\overline{)729}\\\phantom{25)}\underline{\phantom{}50\phantom{9}}\\\phantom{25)}229\\\phantom{25)}\underline{\phantom{}225\phantom{}}\\\phantom{25)99}4\\\end{array}$$

Since 4 is less than 25, stop the division. The reminder is 4. The topmost line 029 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 29.

$$\text{Quotient: }29 \text{Reminder: }4$$

Factor

$$\frac{3 ^ {6}}{5 ^ {2}} = 29\frac{4}{25} = 29.16$$