Solve 871div24

$$871 \div 24$$

Evaluate

$$\frac{871}{24}\approx 36.291666667$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 871

$$\begin{array}{l}\phantom{24)}\phantom{1}\\24\overline{)871}\\\end{array}$$

Since 8 is less than 24, use the next digit 7 from dividend 871 and add 0 to the quotient

$$\begin{array}{l}\phantom{24)}0\phantom{2}\\24\overline{)871}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 871

$$\begin{array}{l}\phantom{24)}0\phantom{3}\\24\overline{)871}\\\end{array}$$

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.

$$\begin{array}{l}\phantom{24)}03\phantom{4}\\24\overline{)871}\\\phantom{24)}\underline{\phantom{}72\phantom{9}}\\\phantom{24)}15\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 871

$$\begin{array}{l}\phantom{24)}03\phantom{5}\\24\overline{)871}\\\phantom{24)}\underline{\phantom{}72\phantom{9}}\\\phantom{24)}151\\\end{array}$$

Find closest multiple of 24 to 151. We see that 6 \times 24 = 144 is the nearest. Now subtract 144 from 151 to get reminder 7. Add 6 to quotient.

$$\begin{array}{l}\phantom{24)}036\phantom{6}\\24\overline{)871}\\\phantom{24)}\underline{\phantom{}72\phantom{9}}\\\phantom{24)}151\\\phantom{24)}\underline{\phantom{}144\phantom{}}\\\phantom{24)99}7\\\end{array}$$

Since 7 is less than 24, stop the division. The reminder is 7. The topmost line 036 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 36.

$$\text{Quotient: }36 \text{Reminder: }7$$

Factor

$$\frac{13 \cdot 67}{2 ^ {3} \cdot 3} = 36\frac{7}{24} = 36.291666666666664$$