Solve 86340div24

$$86340 \div 24$$

Evaluate

$$\frac{7195}{2}=3597.5$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 86340

$$\begin{array}{l}\phantom{24)}\phantom{1}\\24\overline{)86340}\\\end{array}$$

Since 8 is less than 24, use the next digit 6 from dividend 86340 and add 0 to the quotient

$$\begin{array}{l}\phantom{24)}0\phantom{2}\\24\overline{)86340}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 86340

$$\begin{array}{l}\phantom{24)}0\phantom{3}\\24\overline{)86340}\\\end{array}$$

Find closest multiple of 24 to 86. We see that 3 \times 24 = 72 is the nearest. Now subtract 72 from 86 to get reminder 14. Add 3 to quotient.

$$\begin{array}{l}\phantom{24)}03\phantom{4}\\24\overline{)86340}\\\phantom{24)}\underline{\phantom{}72\phantom{999}}\\\phantom{24)}14\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 86340

$$\begin{array}{l}\phantom{24)}03\phantom{5}\\24\overline{)86340}\\\phantom{24)}\underline{\phantom{}72\phantom{999}}\\\phantom{24)}143\\\end{array}$$

Find closest multiple of 24 to 143. We see that 5 \times 24 = 120 is the nearest. Now subtract 120 from 143 to get reminder 23. Add 5 to quotient.

$$\begin{array}{l}\phantom{24)}035\phantom{6}\\24\overline{)86340}\\\phantom{24)}\underline{\phantom{}72\phantom{999}}\\\phantom{24)}143\\\phantom{24)}\underline{\phantom{}120\phantom{99}}\\\phantom{24)9}23\\\end{array}$$

Use the 4^{th} digit 4 from dividend 86340

$$\begin{array}{l}\phantom{24)}035\phantom{7}\\24\overline{)86340}\\\phantom{24)}\underline{\phantom{}72\phantom{999}}\\\phantom{24)}143\\\phantom{24)}\underline{\phantom{}120\phantom{99}}\\\phantom{24)9}234\\\end{array}$$

Find closest multiple of 24 to 234. We see that 9 \times 24 = 216 is the nearest. Now subtract 216 from 234 to get reminder 18. Add 9 to quotient.

$$\begin{array}{l}\phantom{24)}0359\phantom{8}\\24\overline{)86340}\\\phantom{24)}\underline{\phantom{}72\phantom{999}}\\\phantom{24)}143\\\phantom{24)}\underline{\phantom{}120\phantom{99}}\\\phantom{24)9}234\\\phantom{24)}\underline{\phantom{9}216\phantom{9}}\\\phantom{24)99}18\\\end{array}$$

Use the 5^{th} digit 0 from dividend 86340

$$\begin{array}{l}\phantom{24)}0359\phantom{9}\\24\overline{)86340}\\\phantom{24)}\underline{\phantom{}72\phantom{999}}\\\phantom{24)}143\\\phantom{24)}\underline{\phantom{}120\phantom{99}}\\\phantom{24)9}234\\\phantom{24)}\underline{\phantom{9}216\phantom{9}}\\\phantom{24)99}180\\\end{array}$$

Find closest multiple of 24 to 180. We see that 7 \times 24 = 168 is the nearest. Now subtract 168 from 180 to get reminder 12. Add 7 to quotient.

$$\begin{array}{l}\phantom{24)}03597\phantom{10}\\24\overline{)86340}\\\phantom{24)}\underline{\phantom{}72\phantom{999}}\\\phantom{24)}143\\\phantom{24)}\underline{\phantom{}120\phantom{99}}\\\phantom{24)9}234\\\phantom{24)}\underline{\phantom{9}216\phantom{9}}\\\phantom{24)99}180\\\phantom{24)}\underline{\phantom{99}168\phantom{}}\\\phantom{24)999}12\\\end{array}$$

Since 12 is less than 24, stop the division. The reminder is 12. The topmost line 03597 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3597.

$$\text{Quotient: }3597 \text{Reminder: }12$$

Factor

$$\frac{5 \cdot 1439}{2} = 3597\frac{1}{2} = 3597.5$$