Evaluate
91
Factor
7\times 13
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\begin{array}{l}\phantom{47)}\phantom{1}\\47\overline{)4277}\\\end{array}
Use the 1^{st} digit 4 from dividend 4277
\begin{array}{l}\phantom{47)}0\phantom{2}\\47\overline{)4277}\\\end{array}
Since 4 is less than 47, use the next digit 2 from dividend 4277 and add 0 to the quotient
\begin{array}{l}\phantom{47)}0\phantom{3}\\47\overline{)4277}\\\end{array}
Use the 2^{nd} digit 2 from dividend 4277
\begin{array}{l}\phantom{47)}00\phantom{4}\\47\overline{)4277}\\\end{array}
Since 42 is less than 47, use the next digit 7 from dividend 4277 and add 0 to the quotient
\begin{array}{l}\phantom{47)}00\phantom{5}\\47\overline{)4277}\\\end{array}
Use the 3^{rd} digit 7 from dividend 4277
\begin{array}{l}\phantom{47)}009\phantom{6}\\47\overline{)4277}\\\phantom{47)}\underline{\phantom{}423\phantom{9}}\\\phantom{47)99}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)}009\phantom{7}\\47\overline{)4277}\\\phantom{47)}\underline{\phantom{}423\phantom{9}}\\\phantom{47)99}47\\\end{array}
Use the 4^{th} digit 7 from dividend 4277
\begin{array}{l}\phantom{47)}0091\phantom{8}\\47\overline{)4277}\\\phantom{47)}\underline{\phantom{}423\phantom{9}}\\\phantom{47)99}47\\\phantom{47)}\underline{\phantom{99}47\phantom{}}\\\phantom{47)9999}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: }91 \text{Reminder: }0
Since 0 is less than 47, stop the division. The reminder is 0. The topmost line 0091 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 91.
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}