Solve 3896div24

$$3896 \div 24$$

Evaluate

$$\frac{487}{3}\approx 162.333333333$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3896

$$\begin{array}{l}\phantom{24)}\phantom{1}\\24\overline{)3896}\\\end{array}$$

Since 3 is less than 24, use the next digit 8 from dividend 3896 and add 0 to the quotient

$$\begin{array}{l}\phantom{24)}0\phantom{2}\\24\overline{)3896}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 3896

$$\begin{array}{l}\phantom{24)}0\phantom{3}\\24\overline{)3896}\\\end{array}$$

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.

$$\begin{array}{l}\phantom{24)}01\phantom{4}\\24\overline{)3896}\\\phantom{24)}\underline{\phantom{}24\phantom{99}}\\\phantom{24)}14\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 3896

$$\begin{array}{l}\phantom{24)}01\phantom{5}\\24\overline{)3896}\\\phantom{24)}\underline{\phantom{}24\phantom{99}}\\\phantom{24)}149\\\end{array}$$

Find closest multiple of 24 to 149. We see that 6 \times 24 = 144 is the nearest. Now subtract 144 from 149 to get reminder 5. Add 6 to quotient.

$$\begin{array}{l}\phantom{24)}016\phantom{6}\\24\overline{)3896}\\\phantom{24)}\underline{\phantom{}24\phantom{99}}\\\phantom{24)}149\\\phantom{24)}\underline{\phantom{}144\phantom{9}}\\\phantom{24)99}5\\\end{array}$$

Use the 4^{th} digit 6 from dividend 3896

$$\begin{array}{l}\phantom{24)}016\phantom{7}\\24\overline{)3896}\\\phantom{24)}\underline{\phantom{}24\phantom{99}}\\\phantom{24)}149\\\phantom{24)}\underline{\phantom{}144\phantom{9}}\\\phantom{24)99}56\\\end{array}$$

Find closest multiple of 24 to 56. We see that 2 \times 24 = 48 is the nearest. Now subtract 48 from 56 to get reminder 8. Add 2 to quotient.

$$\begin{array}{l}\phantom{24)}0162\phantom{8}\\24\overline{)3896}\\\phantom{24)}\underline{\phantom{}24\phantom{99}}\\\phantom{24)}149\\\phantom{24)}\underline{\phantom{}144\phantom{9}}\\\phantom{24)99}56\\\phantom{24)}\underline{\phantom{99}48\phantom{}}\\\phantom{24)999}8\\\end{array}$$

Since 8 is less than 24, stop the division. The reminder is 8. The topmost line 0162 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 162.

$$\text{Quotient: }162 \text{Reminder: }8$$

Factor

$$\frac{487}{3} = 162\frac{1}{3} = 162.33333333333334$$