Solve 87:24

$$87 : 24$$

Evaluate

$$\frac{29}{8}=3.625$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 87

$$\begin{array}{l}\phantom{24)}\phantom{1}\\24\overline{)87}\\\end{array}$$

Since 8 is less than 24, use the next digit 7 from dividend 87 and add 0 to the quotient

$$\begin{array}{l}\phantom{24)}0\phantom{2}\\24\overline{)87}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 87

$$\begin{array}{l}\phantom{24)}0\phantom{3}\\24\overline{)87}\\\end{array}$$

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.

$$\begin{array}{l}\phantom{24)}03\phantom{4}\\24\overline{)87}\\\phantom{24)}\underline{\phantom{}72\phantom{}}\\\phantom{24)}15\\\end{array}$$

Since 15 is less than 24, stop the division. The reminder is 15. The topmost line 03 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.

$$\text{Quotient: }3 \text{Reminder: }15$$

Factor

$$\frac{29}{2 ^ {3}} = 3\frac{5}{8} = 3.625$$