Solve 7200div14

$$7200 \div 14$$

Evaluate

$$\frac{3600}{7}\approx 514.285714286$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{14)}\phantom{1}\\14\overline{)7200}\\\end{array}$$

Since 7 is less than 14, use the next digit 2 from dividend 7200 and add 0 to the quotient

$$\begin{array}{l}\phantom{14)}0\phantom{2}\\14\overline{)7200}\\\end{array}$$

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

$$\begin{array}{l}\phantom{14)}0\phantom{3}\\14\overline{)7200}\\\end{array}$$

Find closest multiple of 14 to 72. We see that 5 \times 14 = 70 is the nearest. Now subtract 70 from 72 to get reminder 2. Add 5 to quotient.

$$\begin{array}{l}\phantom{14)}05\phantom{4}\\14\overline{)7200}\\\phantom{14)}\underline{\phantom{}70\phantom{99}}\\\phantom{14)9}2\\\end{array}$$

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

$$\begin{array}{l}\phantom{14)}05\phantom{5}\\14\overline{)7200}\\\phantom{14)}\underline{\phantom{}70\phantom{99}}\\\phantom{14)9}20\\\end{array}$$

Find closest multiple of 14 to 20. We see that 1 \times 14 = 14 is the nearest. Now subtract 14 from 20 to get reminder 6. Add 1 to quotient.

$$\begin{array}{l}\phantom{14)}051\phantom{6}\\14\overline{)7200}\\\phantom{14)}\underline{\phantom{}70\phantom{99}}\\\phantom{14)9}20\\\phantom{14)}\underline{\phantom{9}14\phantom{9}}\\\phantom{14)99}6\\\end{array}$$

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

$$\begin{array}{l}\phantom{14)}051\phantom{7}\\14\overline{)7200}\\\phantom{14)}\underline{\phantom{}70\phantom{99}}\\\phantom{14)9}20\\\phantom{14)}\underline{\phantom{9}14\phantom{9}}\\\phantom{14)99}60\\\end{array}$$

Find closest multiple of 14 to 60. We see that 4 \times 14 = 56 is the nearest. Now subtract 56 from 60 to get reminder 4. Add 4 to quotient.

$$\begin{array}{l}\phantom{14)}0514\phantom{8}\\14\overline{)7200}\\\phantom{14)}\underline{\phantom{}70\phantom{99}}\\\phantom{14)9}20\\\phantom{14)}\underline{\phantom{9}14\phantom{9}}\\\phantom{14)99}60\\\phantom{14)}\underline{\phantom{99}56\phantom{}}\\\phantom{14)999}4\\\end{array}$$

Since 4 is less than 14, stop the division. The reminder is 4. The topmost line 0514 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 514.

$$\text{Quotient: }514 \text{Reminder: }4$$

Factor

$$\frac{2 ^ {4} \cdot 3 ^ {2} \cdot 5 ^ {2}}{7} = 514\frac{2}{7} = 514.2857142857143$$