Evaluate
\frac{4615}{24}\approx 192.291666667
Factor
\frac{5 \cdot 13 \cdot 71}{2 ^ {3} \cdot 3} = 192\frac{7}{24} = 192.29166666666666
Share
Copied to clipboard
\begin{array}{l}\phantom{24)}\phantom{1}\\24\overline{)4615}\\\end{array}
Use the 1^{st} digit 4 from dividend 4615
\begin{array}{l}\phantom{24)}0\phantom{2}\\24\overline{)4615}\\\end{array}
Since 4 is less than 24, use the next digit 6 from dividend 4615 and add 0 to the quotient
\begin{array}{l}\phantom{24)}0\phantom{3}\\24\overline{)4615}\\\end{array}
Use the 2^{nd} digit 6 from dividend 4615
\begin{array}{l}\phantom{24)}01\phantom{4}\\24\overline{)4615}\\\phantom{24)}\underline{\phantom{}24\phantom{99}}\\\phantom{24)}22\\\end{array}
Find closest multiple of 24 to 46. We see that 1 \times 24 = 24 is the nearest. Now subtract 24 from 46 to get reminder 22. Add 1 to quotient.
\begin{array}{l}\phantom{24)}01\phantom{5}\\24\overline{)4615}\\\phantom{24)}\underline{\phantom{}24\phantom{99}}\\\phantom{24)}221\\\end{array}
Use the 3^{rd} digit 1 from dividend 4615
\begin{array}{l}\phantom{24)}019\phantom{6}\\24\overline{)4615}\\\phantom{24)}\underline{\phantom{}24\phantom{99}}\\\phantom{24)}221\\\phantom{24)}\underline{\phantom{}216\phantom{9}}\\\phantom{24)99}5\\\end{array}
Find closest multiple of 24 to 221. We see that 9 \times 24 = 216 is the nearest. Now subtract 216 from 221 to get reminder 5. Add 9 to quotient.
\begin{array}{l}\phantom{24)}019\phantom{7}\\24\overline{)4615}\\\phantom{24)}\underline{\phantom{}24\phantom{99}}\\\phantom{24)}221\\\phantom{24)}\underline{\phantom{}216\phantom{9}}\\\phantom{24)99}55\\\end{array}
Use the 4^{th} digit 5 from dividend 4615
\begin{array}{l}\phantom{24)}0192\phantom{8}\\24\overline{)4615}\\\phantom{24)}\underline{\phantom{}24\phantom{99}}\\\phantom{24)}221\\\phantom{24)}\underline{\phantom{}216\phantom{9}}\\\phantom{24)99}55\\\phantom{24)}\underline{\phantom{99}48\phantom{}}\\\phantom{24)999}7\\\end{array}
Find closest multiple of 24 to 55. We see that 2 \times 24 = 48 is the nearest. Now subtract 48 from 55 to get reminder 7. Add 2 to quotient.
\text{Quotient: }192 \text{Reminder: }7
Since 7 is less than 24, stop the division. The reminder is 7. The topmost line 0192 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 192.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}