Solve 27665div24

$$27665 \div 24$$

Evaluate

$$\frac{27665}{24}\approx 1152.708333333$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 27665

$$\begin{array}{l}\phantom{24)}\phantom{1}\\24\overline{)27665}\\\end{array}$$

Since 2 is less than 24, use the next digit 7 from dividend 27665 and add 0 to the quotient

$$\begin{array}{l}\phantom{24)}0\phantom{2}\\24\overline{)27665}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 27665

$$\begin{array}{l}\phantom{24)}0\phantom{3}\\24\overline{)27665}\\\end{array}$$

Find closest multiple of 24 to 27. We see that 1 \times 24 = 24 is the nearest. Now subtract 24 from 27 to get reminder 3. Add 1 to quotient.

$$\begin{array}{l}\phantom{24)}01\phantom{4}\\24\overline{)27665}\\\phantom{24)}\underline{\phantom{}24\phantom{999}}\\\phantom{24)9}3\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 27665

$$\begin{array}{l}\phantom{24)}01\phantom{5}\\24\overline{)27665}\\\phantom{24)}\underline{\phantom{}24\phantom{999}}\\\phantom{24)9}36\\\end{array}$$

Find closest multiple of 24 to 36. We see that 1 \times 24 = 24 is the nearest. Now subtract 24 from 36 to get reminder 12. Add 1 to quotient.

$$\begin{array}{l}\phantom{24)}011\phantom{6}\\24\overline{)27665}\\\phantom{24)}\underline{\phantom{}24\phantom{999}}\\\phantom{24)9}36\\\phantom{24)}\underline{\phantom{9}24\phantom{99}}\\\phantom{24)9}12\\\end{array}$$

Use the 4^{th} digit 6 from dividend 27665

$$\begin{array}{l}\phantom{24)}011\phantom{7}\\24\overline{)27665}\\\phantom{24)}\underline{\phantom{}24\phantom{999}}\\\phantom{24)9}36\\\phantom{24)}\underline{\phantom{9}24\phantom{99}}\\\phantom{24)9}126\\\end{array}$$

Find closest multiple of 24 to 126. We see that 5 \times 24 = 120 is the nearest. Now subtract 120 from 126 to get reminder 6. Add 5 to quotient.

$$\begin{array}{l}\phantom{24)}0115\phantom{8}\\24\overline{)27665}\\\phantom{24)}\underline{\phantom{}24\phantom{999}}\\\phantom{24)9}36\\\phantom{24)}\underline{\phantom{9}24\phantom{99}}\\\phantom{24)9}126\\\phantom{24)}\underline{\phantom{9}120\phantom{9}}\\\phantom{24)999}6\\\end{array}$$

Use the 5^{th} digit 5 from dividend 27665

$$\begin{array}{l}\phantom{24)}0115\phantom{9}\\24\overline{)27665}\\\phantom{24)}\underline{\phantom{}24\phantom{999}}\\\phantom{24)9}36\\\phantom{24)}\underline{\phantom{9}24\phantom{99}}\\\phantom{24)9}126\\\phantom{24)}\underline{\phantom{9}120\phantom{9}}\\\phantom{24)999}65\\\end{array}$$

Find closest multiple of 24 to 65. We see that 2 \times 24 = 48 is the nearest. Now subtract 48 from 65 to get reminder 17. Add 2 to quotient.

$$\begin{array}{l}\phantom{24)}01152\phantom{10}\\24\overline{)27665}\\\phantom{24)}\underline{\phantom{}24\phantom{999}}\\\phantom{24)9}36\\\phantom{24)}\underline{\phantom{9}24\phantom{99}}\\\phantom{24)9}126\\\phantom{24)}\underline{\phantom{9}120\phantom{9}}\\\phantom{24)999}65\\\phantom{24)}\underline{\phantom{999}48\phantom{}}\\\phantom{24)999}17\\\end{array}$$

Since 17 is less than 24, stop the division. The reminder is 17. The topmost line 01152 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1152.

$$\text{Quotient: }1152 \text{Reminder: }17$$

Factor

$$\frac{5 \cdot 11 \cdot 503}{2 ^ {3} \cdot 3} = 1152\frac{17}{24} = 1152.7083333333333$$