Solve 8208/24

$$\frac{ 8208 }{ 24 }$$

Evaluate

$$342$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 8208

$$\begin{array}{l}\phantom{24)}\phantom{1}\\24\overline{)8208}\\\end{array}$$

Since 8 is less than 24, use the next digit 2 from dividend 8208 and add 0 to the quotient

$$\begin{array}{l}\phantom{24)}0\phantom{2}\\24\overline{)8208}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 8208

$$\begin{array}{l}\phantom{24)}0\phantom{3}\\24\overline{)8208}\\\end{array}$$

Find closest multiple of 24 to 82. We see that 3 \times 24 = 72 is the nearest. Now subtract 72 from 82 to get reminder 10. Add 3 to quotient.

$$\begin{array}{l}\phantom{24)}03\phantom{4}\\24\overline{)8208}\\\phantom{24)}\underline{\phantom{}72\phantom{99}}\\\phantom{24)}10\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 8208

$$\begin{array}{l}\phantom{24)}03\phantom{5}\\24\overline{)8208}\\\phantom{24)}\underline{\phantom{}72\phantom{99}}\\\phantom{24)}100\\\end{array}$$

Find closest multiple of 24 to 100. We see that 4 \times 24 = 96 is the nearest. Now subtract 96 from 100 to get reminder 4. Add 4 to quotient.

$$\begin{array}{l}\phantom{24)}034\phantom{6}\\24\overline{)8208}\\\phantom{24)}\underline{\phantom{}72\phantom{99}}\\\phantom{24)}100\\\phantom{24)}\underline{\phantom{9}96\phantom{9}}\\\phantom{24)99}4\\\end{array}$$

Use the 4^{th} digit 8 from dividend 8208

$$\begin{array}{l}\phantom{24)}034\phantom{7}\\24\overline{)8208}\\\phantom{24)}\underline{\phantom{}72\phantom{99}}\\\phantom{24)}100\\\phantom{24)}\underline{\phantom{9}96\phantom{9}}\\\phantom{24)99}48\\\end{array}$$

Find closest multiple of 24 to 48. We see that 2 \times 24 = 48 is the nearest. Now subtract 48 from 48 to get reminder 0. Add 2 to quotient.

$$\begin{array}{l}\phantom{24)}0342\phantom{8}\\24\overline{)8208}\\\phantom{24)}\underline{\phantom{}72\phantom{99}}\\\phantom{24)}100\\\phantom{24)}\underline{\phantom{9}96\phantom{9}}\\\phantom{24)99}48\\\phantom{24)}\underline{\phantom{99}48\phantom{}}\\\phantom{24)9999}0\\\end{array}$$

Since 0 is less than 24, stop the division. The reminder is 0. The topmost line 0342 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 342.

$$\text{Quotient: }342 \text{Reminder: }0$$

Factor

$$2\times 3^{2}\times 19$$