Solve 23328/25

$$\frac{ 23328 }{ 25 }$$

Evaluate

$$\frac{23328}{25}=933.12$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 23328

$$\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)23328}\\\end{array}$$

Since 2 is less than 25, use the next digit 3 from dividend 23328 and add 0 to the quotient

$$\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)23328}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 23328

$$\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)23328}\\\end{array}$$

Since 23 is less than 25, use the next digit 3 from dividend 23328 and add 0 to the quotient

$$\begin{array}{l}\phantom{25)}00\phantom{4}\\25\overline{)23328}\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 23328

$$\begin{array}{l}\phantom{25)}00\phantom{5}\\25\overline{)23328}\\\end{array}$$

Find closest multiple of 25 to 233. We see that 9 \times 25 = 225 is the nearest. Now subtract 225 from 233 to get reminder 8. Add 9 to quotient.

$$\begin{array}{l}\phantom{25)}009\phantom{6}\\25\overline{)23328}\\\phantom{25)}\underline{\phantom{}225\phantom{99}}\\\phantom{25)99}8\\\end{array}$$

Use the 4^{th} digit 2 from dividend 23328

$$\begin{array}{l}\phantom{25)}009\phantom{7}\\25\overline{)23328}\\\phantom{25)}\underline{\phantom{}225\phantom{99}}\\\phantom{25)99}82\\\end{array}$$

Find closest multiple of 25 to 82. We see that 3 \times 25 = 75 is the nearest. Now subtract 75 from 82 to get reminder 7. Add 3 to quotient.

$$\begin{array}{l}\phantom{25)}0093\phantom{8}\\25\overline{)23328}\\\phantom{25)}\underline{\phantom{}225\phantom{99}}\\\phantom{25)99}82\\\phantom{25)}\underline{\phantom{99}75\phantom{9}}\\\phantom{25)999}7\\\end{array}$$

Use the 5^{th} digit 8 from dividend 23328

$$\begin{array}{l}\phantom{25)}0093\phantom{9}\\25\overline{)23328}\\\phantom{25)}\underline{\phantom{}225\phantom{99}}\\\phantom{25)99}82\\\phantom{25)}\underline{\phantom{99}75\phantom{9}}\\\phantom{25)999}78\\\end{array}$$

Find closest multiple of 25 to 78. We see that 3 \times 25 = 75 is the nearest. Now subtract 75 from 78 to get reminder 3. Add 3 to quotient.

$$\begin{array}{l}\phantom{25)}00933\phantom{10}\\25\overline{)23328}\\\phantom{25)}\underline{\phantom{}225\phantom{99}}\\\phantom{25)99}82\\\phantom{25)}\underline{\phantom{99}75\phantom{9}}\\\phantom{25)999}78\\\phantom{25)}\underline{\phantom{999}75\phantom{}}\\\phantom{25)9999}3\\\end{array}$$

Since 3 is less than 25, stop the division. The reminder is 3. The topmost line 00933 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 933.

$$\text{Quotient: }933 \text{Reminder: }3$$

Factor

$$\frac{2 ^ {5} \cdot 3 ^ {6}}{5 ^ {2}} = 933\frac{3}{25} = 933.12$$