Evaluate
19943
Factor
7^{2}\times 11\times 37
Share
Copied to clipboard
\begin{array}{l}\phantom{24)}\phantom{1}\\24\overline{)478632}\\\end{array}
Use the 1^{st} digit 4 from dividend 478632
\begin{array}{l}\phantom{24)}0\phantom{2}\\24\overline{)478632}\\\end{array}
Since 4 is less than 24, use the next digit 7 from dividend 478632 and add 0 to the quotient
\begin{array}{l}\phantom{24)}0\phantom{3}\\24\overline{)478632}\\\end{array}
Use the 2^{nd} digit 7 from dividend 478632
\begin{array}{l}\phantom{24)}01\phantom{4}\\24\overline{)478632}\\\phantom{24)}\underline{\phantom{}24\phantom{9999}}\\\phantom{24)}23\\\end{array}
Find closest multiple of 24 to 47. We see that 1 \times 24 = 24 is the nearest. Now subtract 24 from 47 to get reminder 23. Add 1 to quotient.
\begin{array}{l}\phantom{24)}01\phantom{5}\\24\overline{)478632}\\\phantom{24)}\underline{\phantom{}24\phantom{9999}}\\\phantom{24)}238\\\end{array}
Use the 3^{rd} digit 8 from dividend 478632
\begin{array}{l}\phantom{24)}019\phantom{6}\\24\overline{)478632}\\\phantom{24)}\underline{\phantom{}24\phantom{9999}}\\\phantom{24)}238\\\phantom{24)}\underline{\phantom{}216\phantom{999}}\\\phantom{24)9}22\\\end{array}
Find closest multiple of 24 to 238. We see that 9 \times 24 = 216 is the nearest. Now subtract 216 from 238 to get reminder 22. Add 9 to quotient.
\begin{array}{l}\phantom{24)}019\phantom{7}\\24\overline{)478632}\\\phantom{24)}\underline{\phantom{}24\phantom{9999}}\\\phantom{24)}238\\\phantom{24)}\underline{\phantom{}216\phantom{999}}\\\phantom{24)9}226\\\end{array}
Use the 4^{th} digit 6 from dividend 478632
\begin{array}{l}\phantom{24)}0199\phantom{8}\\24\overline{)478632}\\\phantom{24)}\underline{\phantom{}24\phantom{9999}}\\\phantom{24)}238\\\phantom{24)}\underline{\phantom{}216\phantom{999}}\\\phantom{24)9}226\\\phantom{24)}\underline{\phantom{9}216\phantom{99}}\\\phantom{24)99}10\\\end{array}
Find closest multiple of 24 to 226. We see that 9 \times 24 = 216 is the nearest. Now subtract 216 from 226 to get reminder 10. Add 9 to quotient.
\begin{array}{l}\phantom{24)}0199\phantom{9}\\24\overline{)478632}\\\phantom{24)}\underline{\phantom{}24\phantom{9999}}\\\phantom{24)}238\\\phantom{24)}\underline{\phantom{}216\phantom{999}}\\\phantom{24)9}226\\\phantom{24)}\underline{\phantom{9}216\phantom{99}}\\\phantom{24)99}103\\\end{array}
Use the 5^{th} digit 3 from dividend 478632
\begin{array}{l}\phantom{24)}01994\phantom{10}\\24\overline{)478632}\\\phantom{24)}\underline{\phantom{}24\phantom{9999}}\\\phantom{24)}238\\\phantom{24)}\underline{\phantom{}216\phantom{999}}\\\phantom{24)9}226\\\phantom{24)}\underline{\phantom{9}216\phantom{99}}\\\phantom{24)99}103\\\phantom{24)}\underline{\phantom{999}96\phantom{9}}\\\phantom{24)9999}7\\\end{array}
Find closest multiple of 24 to 103. We see that 4 \times 24 = 96 is the nearest. Now subtract 96 from 103 to get reminder 7. Add 4 to quotient.
\begin{array}{l}\phantom{24)}01994\phantom{11}\\24\overline{)478632}\\\phantom{24)}\underline{\phantom{}24\phantom{9999}}\\\phantom{24)}238\\\phantom{24)}\underline{\phantom{}216\phantom{999}}\\\phantom{24)9}226\\\phantom{24)}\underline{\phantom{9}216\phantom{99}}\\\phantom{24)99}103\\\phantom{24)}\underline{\phantom{999}96\phantom{9}}\\\phantom{24)9999}72\\\end{array}
Use the 6^{th} digit 2 from dividend 478632
\begin{array}{l}\phantom{24)}019943\phantom{12}\\24\overline{)478632}\\\phantom{24)}\underline{\phantom{}24\phantom{9999}}\\\phantom{24)}238\\\phantom{24)}\underline{\phantom{}216\phantom{999}}\\\phantom{24)9}226\\\phantom{24)}\underline{\phantom{9}216\phantom{99}}\\\phantom{24)99}103\\\phantom{24)}\underline{\phantom{999}96\phantom{9}}\\\phantom{24)9999}72\\\phantom{24)}\underline{\phantom{9999}72\phantom{}}\\\phantom{24)999999}0\\\end{array}
Find closest multiple of 24 to 72. We see that 3 \times 24 = 72 is the nearest. Now subtract 72 from 72 to get reminder 0. Add 3 to quotient.
\text{Quotient: }19943 \text{Reminder: }0
Since 0 is less than 24, stop the division. The reminder is 0. The topmost line 019943 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 19943.
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}