Solve 7200/625

$$\frac{ 7200 }{ 625 }$$

Evaluate

$$\frac{288}{25}=11.52$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 7200

$$\begin{array}{l}\phantom{625)}\phantom{1}\\625\overline{)7200}\\\end{array}$$

Since 7 is less than 625, use the next digit 2 from dividend 7200 and add 0 to the quotient

$$\begin{array}{l}\phantom{625)}0\phantom{2}\\625\overline{)7200}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 7200

$$\begin{array}{l}\phantom{625)}0\phantom{3}\\625\overline{)7200}\\\end{array}$$

Since 72 is less than 625, use the next digit 0 from dividend 7200 and add 0 to the quotient

$$\begin{array}{l}\phantom{625)}00\phantom{4}\\625\overline{)7200}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 7200

$$\begin{array}{l}\phantom{625)}00\phantom{5}\\625\overline{)7200}\\\end{array}$$

Find closest multiple of 625 to 720. We see that 1 \times 625 = 625 is the nearest. Now subtract 625 from 720 to get reminder 95. Add 1 to quotient.

$$\begin{array}{l}\phantom{625)}001\phantom{6}\\625\overline{)7200}\\\phantom{625)}\underline{\phantom{}625\phantom{9}}\\\phantom{625)9}95\\\end{array}$$

Use the 4^{th} digit 0 from dividend 7200

$$\begin{array}{l}\phantom{625)}001\phantom{7}\\625\overline{)7200}\\\phantom{625)}\underline{\phantom{}625\phantom{9}}\\\phantom{625)9}950\\\end{array}$$

Find closest multiple of 625 to 950. We see that 1 \times 625 = 625 is the nearest. Now subtract 625 from 950 to get reminder 325. Add 1 to quotient.

$$\begin{array}{l}\phantom{625)}0011\phantom{8}\\625\overline{)7200}\\\phantom{625)}\underline{\phantom{}625\phantom{9}}\\\phantom{625)9}950\\\phantom{625)}\underline{\phantom{9}625\phantom{}}\\\phantom{625)9}325\\\end{array}$$

Since 325 is less than 625, stop the division. The reminder is 325. The topmost line 0011 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 11.

$$\text{Quotient: }11 \text{Reminder: }325$$

Factor

$$\frac{2 ^ {5} \cdot 3 ^ {2}}{5 ^ {2}} = 11\frac{13}{25} = 11.52$$