Solve 18278div24

$$18278 \div 24$$

Evaluate

$$\frac{9139}{12}\approx 761.583333333$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 18278

$$\begin{array}{l}\phantom{24)}\phantom{1}\\24\overline{)18278}\\\end{array}$$

Since 1 is less than 24, use the next digit 8 from dividend 18278 and add 0 to the quotient

$$\begin{array}{l}\phantom{24)}0\phantom{2}\\24\overline{)18278}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 18278

$$\begin{array}{l}\phantom{24)}0\phantom{3}\\24\overline{)18278}\\\end{array}$$

Since 18 is less than 24, use the next digit 2 from dividend 18278 and add 0 to the quotient

$$\begin{array}{l}\phantom{24)}00\phantom{4}\\24\overline{)18278}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 18278

$$\begin{array}{l}\phantom{24)}00\phantom{5}\\24\overline{)18278}\\\end{array}$$

Find closest multiple of 24 to 182. We see that 7 \times 24 = 168 is the nearest. Now subtract 168 from 182 to get reminder 14. Add 7 to quotient.

$$\begin{array}{l}\phantom{24)}007\phantom{6}\\24\overline{)18278}\\\phantom{24)}\underline{\phantom{}168\phantom{99}}\\\phantom{24)9}14\\\end{array}$$

Use the 4^{th} digit 7 from dividend 18278

$$\begin{array}{l}\phantom{24)}007\phantom{7}\\24\overline{)18278}\\\phantom{24)}\underline{\phantom{}168\phantom{99}}\\\phantom{24)9}147\\\end{array}$$

Find closest multiple of 24 to 147. We see that 6 \times 24 = 144 is the nearest. Now subtract 144 from 147 to get reminder 3. Add 6 to quotient.

$$\begin{array}{l}\phantom{24)}0076\phantom{8}\\24\overline{)18278}\\\phantom{24)}\underline{\phantom{}168\phantom{99}}\\\phantom{24)9}147\\\phantom{24)}\underline{\phantom{9}144\phantom{9}}\\\phantom{24)999}3\\\end{array}$$

Use the 5^{th} digit 8 from dividend 18278

$$\begin{array}{l}\phantom{24)}0076\phantom{9}\\24\overline{)18278}\\\phantom{24)}\underline{\phantom{}168\phantom{99}}\\\phantom{24)9}147\\\phantom{24)}\underline{\phantom{9}144\phantom{9}}\\\phantom{24)999}38\\\end{array}$$

Find closest multiple of 24 to 38. We see that 1 \times 24 = 24 is the nearest. Now subtract 24 from 38 to get reminder 14. Add 1 to quotient.

$$\begin{array}{l}\phantom{24)}00761\phantom{10}\\24\overline{)18278}\\\phantom{24)}\underline{\phantom{}168\phantom{99}}\\\phantom{24)9}147\\\phantom{24)}\underline{\phantom{9}144\phantom{9}}\\\phantom{24)999}38\\\phantom{24)}\underline{\phantom{999}24\phantom{}}\\\phantom{24)999}14\\\end{array}$$

Since 14 is less than 24, stop the division. The reminder is 14. The topmost line 00761 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 761.

$$\text{Quotient: }761 \text{Reminder: }14$$

Factor

$$\frac{13 \cdot 19 \cdot 37}{2 ^ {2} \cdot 3} = 761\frac{7}{12} = 761.5833333333334$$