Evaluate
133
Factor
7\times 19
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\begin{array}{l}\phantom{74)}\phantom{1}\\74\overline{)9842}\\\end{array}
Use the 1^{st} digit 9 from dividend 9842
\begin{array}{l}\phantom{74)}0\phantom{2}\\74\overline{)9842}\\\end{array}
Since 9 is less than 74, use the next digit 8 from dividend 9842 and add 0 to the quotient
\begin{array}{l}\phantom{74)}0\phantom{3}\\74\overline{)9842}\\\end{array}
Use the 2^{nd} digit 8 from dividend 9842
\begin{array}{l}\phantom{74)}01\phantom{4}\\74\overline{)9842}\\\phantom{74)}\underline{\phantom{}74\phantom{99}}\\\phantom{74)}24\\\end{array}
Find closest multiple of 74 to 98. We see that 1 \times 74 = 74 is the nearest. Now subtract 74 from 98 to get reminder 24. Add 1 to quotient.
\begin{array}{l}\phantom{74)}01\phantom{5}\\74\overline{)9842}\\\phantom{74)}\underline{\phantom{}74\phantom{99}}\\\phantom{74)}244\\\end{array}
Use the 3^{rd} digit 4 from dividend 9842
\begin{array}{l}\phantom{74)}013\phantom{6}\\74\overline{)9842}\\\phantom{74)}\underline{\phantom{}74\phantom{99}}\\\phantom{74)}244\\\phantom{74)}\underline{\phantom{}222\phantom{9}}\\\phantom{74)9}22\\\end{array}
Find closest multiple of 74 to 244. We see that 3 \times 74 = 222 is the nearest. Now subtract 222 from 244 to get reminder 22. Add 3 to quotient.
\begin{array}{l}\phantom{74)}013\phantom{7}\\74\overline{)9842}\\\phantom{74)}\underline{\phantom{}74\phantom{99}}\\\phantom{74)}244\\\phantom{74)}\underline{\phantom{}222\phantom{9}}\\\phantom{74)9}222\\\end{array}
Use the 4^{th} digit 2 from dividend 9842
\begin{array}{l}\phantom{74)}0133\phantom{8}\\74\overline{)9842}\\\phantom{74)}\underline{\phantom{}74\phantom{99}}\\\phantom{74)}244\\\phantom{74)}\underline{\phantom{}222\phantom{9}}\\\phantom{74)9}222\\\phantom{74)}\underline{\phantom{9}222\phantom{}}\\\phantom{74)9999}0\\\end{array}
Find closest multiple of 74 to 222. We see that 3 \times 74 = 222 is the nearest. Now subtract 222 from 222 to get reminder 0. Add 3 to quotient.
\text{Quotient: }133 \text{Reminder: }0
Since 0 is less than 74, stop the division. The reminder is 0. The topmost line 0133 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 133.
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}