Solve 87,432div24

$$87,432 \div 24$$

Evaluate

$$3643$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 87432

$$\begin{array}{l}\phantom{24)}\phantom{1}\\24\overline{)87432}\\\end{array}$$

Since 8 is less than 24, use the next digit 7 from dividend 87432 and add 0 to the quotient

$$\begin{array}{l}\phantom{24)}0\phantom{2}\\24\overline{)87432}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 87432

$$\begin{array}{l}\phantom{24)}0\phantom{3}\\24\overline{)87432}\\\end{array}$$

Find closest multiple of 24 to 87. We see that 3 \times 24 = 72 is the nearest. Now subtract 72 from 87 to get reminder 15. Add 3 to quotient.

$$\begin{array}{l}\phantom{24)}03\phantom{4}\\24\overline{)87432}\\\phantom{24)}\underline{\phantom{}72\phantom{999}}\\\phantom{24)}15\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 87432

$$\begin{array}{l}\phantom{24)}03\phantom{5}\\24\overline{)87432}\\\phantom{24)}\underline{\phantom{}72\phantom{999}}\\\phantom{24)}154\\\end{array}$$

Find closest multiple of 24 to 154. We see that 6 \times 24 = 144 is the nearest. Now subtract 144 from 154 to get reminder 10. Add 6 to quotient.

$$\begin{array}{l}\phantom{24)}036\phantom{6}\\24\overline{)87432}\\\phantom{24)}\underline{\phantom{}72\phantom{999}}\\\phantom{24)}154\\\phantom{24)}\underline{\phantom{}144\phantom{99}}\\\phantom{24)9}10\\\end{array}$$

Use the 4^{th} digit 3 from dividend 87432

$$\begin{array}{l}\phantom{24)}036\phantom{7}\\24\overline{)87432}\\\phantom{24)}\underline{\phantom{}72\phantom{999}}\\\phantom{24)}154\\\phantom{24)}\underline{\phantom{}144\phantom{99}}\\\phantom{24)9}103\\\end{array}$$

Find closest multiple of 24 to 103. We see that 4 \times 24 = 96 is the nearest. Now subtract 96 from 103 to get reminder 7. Add 4 to quotient.

$$\begin{array}{l}\phantom{24)}0364\phantom{8}\\24\overline{)87432}\\\phantom{24)}\underline{\phantom{}72\phantom{999}}\\\phantom{24)}154\\\phantom{24)}\underline{\phantom{}144\phantom{99}}\\\phantom{24)9}103\\\phantom{24)}\underline{\phantom{99}96\phantom{9}}\\\phantom{24)999}7\\\end{array}$$

Use the 5^{th} digit 2 from dividend 87432

$$\begin{array}{l}\phantom{24)}0364\phantom{9}\\24\overline{)87432}\\\phantom{24)}\underline{\phantom{}72\phantom{999}}\\\phantom{24)}154\\\phantom{24)}\underline{\phantom{}144\phantom{99}}\\\phantom{24)9}103\\\phantom{24)}\underline{\phantom{99}96\phantom{9}}\\\phantom{24)999}72\\\end{array}$$

Find closest multiple of 24 to 72. We see that 3 \times 24 = 72 is the nearest. Now subtract 72 from 72 to get reminder 0. Add 3 to quotient.

$$\begin{array}{l}\phantom{24)}03643\phantom{10}\\24\overline{)87432}\\\phantom{24)}\underline{\phantom{}72\phantom{999}}\\\phantom{24)}154\\\phantom{24)}\underline{\phantom{}144\phantom{99}}\\\phantom{24)9}103\\\phantom{24)}\underline{\phantom{99}96\phantom{9}}\\\phantom{24)999}72\\\phantom{24)}\underline{\phantom{999}72\phantom{}}\\\phantom{24)99999}0\\\end{array}$$

Since 0 is less than 24, stop the division. The reminder is 0. The topmost line 03643 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3643.

$$\text{Quotient: }3643 \text{Reminder: }0$$

Factor

$$3643$$