Evaluate
109
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109
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\begin{array}{l}\phantom{743)}\phantom{1}\\743\overline{)80987}\\\end{array}
Use the 1^{st} digit 8 from dividend 80987
\begin{array}{l}\phantom{743)}0\phantom{2}\\743\overline{)80987}\\\end{array}
Since 8 is less than 743, use the next digit 0 from dividend 80987 and add 0 to the quotient
\begin{array}{l}\phantom{743)}0\phantom{3}\\743\overline{)80987}\\\end{array}
Use the 2^{nd} digit 0 from dividend 80987
\begin{array}{l}\phantom{743)}00\phantom{4}\\743\overline{)80987}\\\end{array}
Since 80 is less than 743, use the next digit 9 from dividend 80987 and add 0 to the quotient
\begin{array}{l}\phantom{743)}00\phantom{5}\\743\overline{)80987}\\\end{array}
Use the 3^{rd} digit 9 from dividend 80987
\begin{array}{l}\phantom{743)}001\phantom{6}\\743\overline{)80987}\\\phantom{743)}\underline{\phantom{}743\phantom{99}}\\\phantom{743)9}66\\\end{array}
Find closest multiple of 743 to 809. We see that 1 \times 743 = 743 is the nearest. Now subtract 743 from 809 to get reminder 66. Add 1 to quotient.
\begin{array}{l}\phantom{743)}001\phantom{7}\\743\overline{)80987}\\\phantom{743)}\underline{\phantom{}743\phantom{99}}\\\phantom{743)9}668\\\end{array}
Use the 4^{th} digit 8 from dividend 80987
\begin{array}{l}\phantom{743)}0010\phantom{8}\\743\overline{)80987}\\\phantom{743)}\underline{\phantom{}743\phantom{99}}\\\phantom{743)9}668\\\end{array}
Since 668 is less than 743, use the next digit 7 from dividend 80987 and add 0 to the quotient
\begin{array}{l}\phantom{743)}0010\phantom{9}\\743\overline{)80987}\\\phantom{743)}\underline{\phantom{}743\phantom{99}}\\\phantom{743)9}6687\\\end{array}
Use the 5^{th} digit 7 from dividend 80987
\begin{array}{l}\phantom{743)}00109\phantom{10}\\743\overline{)80987}\\\phantom{743)}\underline{\phantom{}743\phantom{99}}\\\phantom{743)9}6687\\\phantom{743)}\underline{\phantom{9}6687\phantom{}}\\\phantom{743)99999}0\\\end{array}
Find closest multiple of 743 to 6687. We see that 9 \times 743 = 6687 is the nearest. Now subtract 6687 from 6687 to get reminder 0. Add 9 to quotient.
\text{Quotient: }109 \text{Reminder: }0
Since 0 is less than 743, stop the division. The reminder is 0. The topmost line 00109 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 109.
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}