Evaluate
107
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107
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\begin{array}{l}\phantom{101)}\phantom{1}\\101\overline{)10807}\\\end{array}
Use the 1^{st} digit 1 from dividend 10807
\begin{array}{l}\phantom{101)}0\phantom{2}\\101\overline{)10807}\\\end{array}
Since 1 is less than 101, use the next digit 0 from dividend 10807 and add 0 to the quotient
\begin{array}{l}\phantom{101)}0\phantom{3}\\101\overline{)10807}\\\end{array}
Use the 2^{nd} digit 0 from dividend 10807
\begin{array}{l}\phantom{101)}00\phantom{4}\\101\overline{)10807}\\\end{array}
Since 10 is less than 101, use the next digit 8 from dividend 10807 and add 0 to the quotient
\begin{array}{l}\phantom{101)}00\phantom{5}\\101\overline{)10807}\\\end{array}
Use the 3^{rd} digit 8 from dividend 10807
\begin{array}{l}\phantom{101)}001\phantom{6}\\101\overline{)10807}\\\phantom{101)}\underline{\phantom{}101\phantom{99}}\\\phantom{101)99}7\\\end{array}
Find closest multiple of 101 to 108. We see that 1 \times 101 = 101 is the nearest. Now subtract 101 from 108 to get reminder 7. Add 1 to quotient.
\begin{array}{l}\phantom{101)}001\phantom{7}\\101\overline{)10807}\\\phantom{101)}\underline{\phantom{}101\phantom{99}}\\\phantom{101)99}70\\\end{array}
Use the 4^{th} digit 0 from dividend 10807
\begin{array}{l}\phantom{101)}0010\phantom{8}\\101\overline{)10807}\\\phantom{101)}\underline{\phantom{}101\phantom{99}}\\\phantom{101)99}70\\\end{array}
Since 70 is less than 101, use the next digit 7 from dividend 10807 and add 0 to the quotient
\begin{array}{l}\phantom{101)}0010\phantom{9}\\101\overline{)10807}\\\phantom{101)}\underline{\phantom{}101\phantom{99}}\\\phantom{101)99}707\\\end{array}
Use the 5^{th} digit 7 from dividend 10807
\begin{array}{l}\phantom{101)}00107\phantom{10}\\101\overline{)10807}\\\phantom{101)}\underline{\phantom{}101\phantom{99}}\\\phantom{101)99}707\\\phantom{101)}\underline{\phantom{99}707\phantom{}}\\\phantom{101)99999}0\\\end{array}
Find closest multiple of 101 to 707. We see that 7 \times 101 = 707 is the nearest. Now subtract 707 from 707 to get reminder 0. Add 7 to quotient.
\text{Quotient: }107 \text{Reminder: }0
Since 0 is less than 101, stop the division. The reminder is 0. The topmost line 00107 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 107.
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}