Solve 6699/24

$$\frac { 6699 } { 24 }$$

Evaluate

$$\frac{2233}{8}=279.125$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 6699

$$\begin{array}{l}\phantom{24)}\phantom{1}\\24\overline{)6699}\\\end{array}$$

Since 6 is less than 24, use the next digit 6 from dividend 6699 and add 0 to the quotient

$$\begin{array}{l}\phantom{24)}0\phantom{2}\\24\overline{)6699}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 6699

$$\begin{array}{l}\phantom{24)}0\phantom{3}\\24\overline{)6699}\\\end{array}$$

Find closest multiple of 24 to 66. We see that 2 \times 24 = 48 is the nearest. Now subtract 48 from 66 to get reminder 18. Add 2 to quotient.

$$\begin{array}{l}\phantom{24)}02\phantom{4}\\24\overline{)6699}\\\phantom{24)}\underline{\phantom{}48\phantom{99}}\\\phantom{24)}18\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 6699

$$\begin{array}{l}\phantom{24)}02\phantom{5}\\24\overline{)6699}\\\phantom{24)}\underline{\phantom{}48\phantom{99}}\\\phantom{24)}189\\\end{array}$$

Find closest multiple of 24 to 189. We see that 7 \times 24 = 168 is the nearest. Now subtract 168 from 189 to get reminder 21. Add 7 to quotient.

$$\begin{array}{l}\phantom{24)}027\phantom{6}\\24\overline{)6699}\\\phantom{24)}\underline{\phantom{}48\phantom{99}}\\\phantom{24)}189\\\phantom{24)}\underline{\phantom{}168\phantom{9}}\\\phantom{24)9}21\\\end{array}$$

Use the 4^{th} digit 9 from dividend 6699

$$\begin{array}{l}\phantom{24)}027\phantom{7}\\24\overline{)6699}\\\phantom{24)}\underline{\phantom{}48\phantom{99}}\\\phantom{24)}189\\\phantom{24)}\underline{\phantom{}168\phantom{9}}\\\phantom{24)9}219\\\end{array}$$

Find closest multiple of 24 to 219. We see that 9 \times 24 = 216 is the nearest. Now subtract 216 from 219 to get reminder 3. Add 9 to quotient.

$$\begin{array}{l}\phantom{24)}0279\phantom{8}\\24\overline{)6699}\\\phantom{24)}\underline{\phantom{}48\phantom{99}}\\\phantom{24)}189\\\phantom{24)}\underline{\phantom{}168\phantom{9}}\\\phantom{24)9}219\\\phantom{24)}\underline{\phantom{9}216\phantom{}}\\\phantom{24)999}3\\\end{array}$$

Since 3 is less than 24, stop the division. The reminder is 3. The topmost line 0279 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 279.

$$\text{Quotient: }279 \text{Reminder: }3$$

Factor

$$\frac{7 \cdot 11 \cdot 29}{2 ^ {3}} = 279\frac{1}{8} = 279.125$$