Evaluate
5291
Factor
11\times 13\times 37
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\begin{array}{l}\phantom{47)}\phantom{1}\\47\overline{)248677}\\\end{array}
Use the 1^{st} digit 2 from dividend 248677
\begin{array}{l}\phantom{47)}0\phantom{2}\\47\overline{)248677}\\\end{array}
Since 2 is less than 47, use the next digit 4 from dividend 248677 and add 0 to the quotient
\begin{array}{l}\phantom{47)}0\phantom{3}\\47\overline{)248677}\\\end{array}
Use the 2^{nd} digit 4 from dividend 248677
\begin{array}{l}\phantom{47)}00\phantom{4}\\47\overline{)248677}\\\end{array}
Since 24 is less than 47, use the next digit 8 from dividend 248677 and add 0 to the quotient
\begin{array}{l}\phantom{47)}00\phantom{5}\\47\overline{)248677}\\\end{array}
Use the 3^{rd} digit 8 from dividend 248677
\begin{array}{l}\phantom{47)}005\phantom{6}\\47\overline{)248677}\\\phantom{47)}\underline{\phantom{}235\phantom{999}}\\\phantom{47)9}13\\\end{array}
Find closest multiple of 47 to 248. We see that 5 \times 47 = 235 is the nearest. Now subtract 235 from 248 to get reminder 13. Add 5 to quotient.
\begin{array}{l}\phantom{47)}005\phantom{7}\\47\overline{)248677}\\\phantom{47)}\underline{\phantom{}235\phantom{999}}\\\phantom{47)9}136\\\end{array}
Use the 4^{th} digit 6 from dividend 248677
\begin{array}{l}\phantom{47)}0052\phantom{8}\\47\overline{)248677}\\\phantom{47)}\underline{\phantom{}235\phantom{999}}\\\phantom{47)9}136\\\phantom{47)}\underline{\phantom{99}94\phantom{99}}\\\phantom{47)99}42\\\end{array}
Find closest multiple of 47 to 136. We see that 2 \times 47 = 94 is the nearest. Now subtract 94 from 136 to get reminder 42. Add 2 to quotient.
\begin{array}{l}\phantom{47)}0052\phantom{9}\\47\overline{)248677}\\\phantom{47)}\underline{\phantom{}235\phantom{999}}\\\phantom{47)9}136\\\phantom{47)}\underline{\phantom{99}94\phantom{99}}\\\phantom{47)99}427\\\end{array}
Use the 5^{th} digit 7 from dividend 248677
\begin{array}{l}\phantom{47)}00529\phantom{10}\\47\overline{)248677}\\\phantom{47)}\underline{\phantom{}235\phantom{999}}\\\phantom{47)9}136\\\phantom{47)}\underline{\phantom{99}94\phantom{99}}\\\phantom{47)99}427\\\phantom{47)}\underline{\phantom{99}423\phantom{9}}\\\phantom{47)9999}4\\\end{array}
Find closest multiple of 47 to 427. We see that 9 \times 47 = 423 is the nearest. Now subtract 423 from 427 to get reminder 4. Add 9 to quotient.
\begin{array}{l}\phantom{47)}00529\phantom{11}\\47\overline{)248677}\\\phantom{47)}\underline{\phantom{}235\phantom{999}}\\\phantom{47)9}136\\\phantom{47)}\underline{\phantom{99}94\phantom{99}}\\\phantom{47)99}427\\\phantom{47)}\underline{\phantom{99}423\phantom{9}}\\\phantom{47)9999}47\\\end{array}
Use the 6^{th} digit 7 from dividend 248677
\begin{array}{l}\phantom{47)}005291\phantom{12}\\47\overline{)248677}\\\phantom{47)}\underline{\phantom{}235\phantom{999}}\\\phantom{47)9}136\\\phantom{47)}\underline{\phantom{99}94\phantom{99}}\\\phantom{47)99}427\\\phantom{47)}\underline{\phantom{99}423\phantom{9}}\\\phantom{47)9999}47\\\phantom{47)}\underline{\phantom{9999}47\phantom{}}\\\phantom{47)999999}0\\\end{array}
Find closest multiple of 47 to 47. We see that 1 \times 47 = 47 is the nearest. Now subtract 47 from 47 to get reminder 0. Add 1 to quotient.
\text{Quotient: }5291 \text{Reminder: }0
Since 0 is less than 47, stop the division. The reminder is 0. The topmost line 005291 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5291.
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}