Solve 10296div30

$$10296 \div 30$$

Evaluate

$$\frac{1716}{5}=343.2$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 10296

$$\begin{array}{l}\phantom{30)}\phantom{1}\\30\overline{)10296}\\\end{array}$$

Since 1 is less than 30, use the next digit 0 from dividend 10296 and add 0 to the quotient

$$\begin{array}{l}\phantom{30)}0\phantom{2}\\30\overline{)10296}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 10296

$$\begin{array}{l}\phantom{30)}0\phantom{3}\\30\overline{)10296}\\\end{array}$$

Since 10 is less than 30, use the next digit 2 from dividend 10296 and add 0 to the quotient

$$\begin{array}{l}\phantom{30)}00\phantom{4}\\30\overline{)10296}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 10296

$$\begin{array}{l}\phantom{30)}00\phantom{5}\\30\overline{)10296}\\\end{array}$$

Find closest multiple of 30 to 102. We see that 3 \times 30 = 90 is the nearest. Now subtract 90 from 102 to get reminder 12. Add 3 to quotient.

$$\begin{array}{l}\phantom{30)}003\phantom{6}\\30\overline{)10296}\\\phantom{30)}\underline{\phantom{9}90\phantom{99}}\\\phantom{30)9}12\\\end{array}$$

Use the 4^{th} digit 9 from dividend 10296

$$\begin{array}{l}\phantom{30)}003\phantom{7}\\30\overline{)10296}\\\phantom{30)}\underline{\phantom{9}90\phantom{99}}\\\phantom{30)9}129\\\end{array}$$

Find closest multiple of 30 to 129. We see that 4 \times 30 = 120 is the nearest. Now subtract 120 from 129 to get reminder 9. Add 4 to quotient.

$$\begin{array}{l}\phantom{30)}0034\phantom{8}\\30\overline{)10296}\\\phantom{30)}\underline{\phantom{9}90\phantom{99}}\\\phantom{30)9}129\\\phantom{30)}\underline{\phantom{9}120\phantom{9}}\\\phantom{30)999}9\\\end{array}$$

Use the 5^{th} digit 6 from dividend 10296

$$\begin{array}{l}\phantom{30)}0034\phantom{9}\\30\overline{)10296}\\\phantom{30)}\underline{\phantom{9}90\phantom{99}}\\\phantom{30)9}129\\\phantom{30)}\underline{\phantom{9}120\phantom{9}}\\\phantom{30)999}96\\\end{array}$$

Find closest multiple of 30 to 96. We see that 3 \times 30 = 90 is the nearest. Now subtract 90 from 96 to get reminder 6. Add 3 to quotient.

$$\begin{array}{l}\phantom{30)}00343\phantom{10}\\30\overline{)10296}\\\phantom{30)}\underline{\phantom{9}90\phantom{99}}\\\phantom{30)9}129\\\phantom{30)}\underline{\phantom{9}120\phantom{9}}\\\phantom{30)999}96\\\phantom{30)}\underline{\phantom{999}90\phantom{}}\\\phantom{30)9999}6\\\end{array}$$

Since 6 is less than 30, stop the division. The reminder is 6. The topmost line 00343 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 343.

$$\text{Quotient: }343 \text{Reminder: }6$$

Factor

$$\frac{2 ^ {2} \cdot 3 \cdot 11 \cdot 13}{5} = 343\frac{1}{5} = 343.2$$