Solve 2054div24

$$2054 \div 24$$

Evaluate

$$\frac{1027}{12}\approx 85.583333333$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2054

$$\begin{array}{l}\phantom{24)}\phantom{1}\\24\overline{)2054}\\\end{array}$$

Since 2 is less than 24, use the next digit 0 from dividend 2054 and add 0 to the quotient

$$\begin{array}{l}\phantom{24)}0\phantom{2}\\24\overline{)2054}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 2054

$$\begin{array}{l}\phantom{24)}0\phantom{3}\\24\overline{)2054}\\\end{array}$$

Since 20 is less than 24, use the next digit 5 from dividend 2054 and add 0 to the quotient

$$\begin{array}{l}\phantom{24)}00\phantom{4}\\24\overline{)2054}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 2054

$$\begin{array}{l}\phantom{24)}00\phantom{5}\\24\overline{)2054}\\\end{array}$$

Find closest multiple of 24 to 205. We see that 8 \times 24 = 192 is the nearest. Now subtract 192 from 205 to get reminder 13. Add 8 to quotient.

$$\begin{array}{l}\phantom{24)}008\phantom{6}\\24\overline{)2054}\\\phantom{24)}\underline{\phantom{}192\phantom{9}}\\\phantom{24)9}13\\\end{array}$$

Use the 4^{th} digit 4 from dividend 2054

$$\begin{array}{l}\phantom{24)}008\phantom{7}\\24\overline{)2054}\\\phantom{24)}\underline{\phantom{}192\phantom{9}}\\\phantom{24)9}134\\\end{array}$$

Find closest multiple of 24 to 134. We see that 5 \times 24 = 120 is the nearest. Now subtract 120 from 134 to get reminder 14. Add 5 to quotient.

$$\begin{array}{l}\phantom{24)}0085\phantom{8}\\24\overline{)2054}\\\phantom{24)}\underline{\phantom{}192\phantom{9}}\\\phantom{24)9}134\\\phantom{24)}\underline{\phantom{9}120\phantom{}}\\\phantom{24)99}14\\\end{array}$$

Since 14 is less than 24, stop the division. The reminder is 14. The topmost line 0085 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 85.

$$\text{Quotient: }85 \text{Reminder: }14$$

Factor

$$\frac{13 \cdot 79}{2 ^ {2} \cdot 3} = 85\frac{7}{12} = 85.58333333333333$$