Evaluate
\frac{435}{7}\approx 62.142857143
Factor
\frac{3 \cdot 5 \cdot 29}{7} = 62\frac{1}{7} = 62.142857142857146
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\begin{array}{l}\phantom{140)}\phantom{1}\\140\overline{)8700}\\\end{array}
Use the 1^{st} digit 8 from dividend 8700
\begin{array}{l}\phantom{140)}0\phantom{2}\\140\overline{)8700}\\\end{array}
Since 8 is less than 140, use the next digit 7 from dividend 8700 and add 0 to the quotient
\begin{array}{l}\phantom{140)}0\phantom{3}\\140\overline{)8700}\\\end{array}
Use the 2^{nd} digit 7 from dividend 8700
\begin{array}{l}\phantom{140)}00\phantom{4}\\140\overline{)8700}\\\end{array}
Since 87 is less than 140, use the next digit 0 from dividend 8700 and add 0 to the quotient
\begin{array}{l}\phantom{140)}00\phantom{5}\\140\overline{)8700}\\\end{array}
Use the 3^{rd} digit 0 from dividend 8700
\begin{array}{l}\phantom{140)}006\phantom{6}\\140\overline{)8700}\\\phantom{140)}\underline{\phantom{}840\phantom{9}}\\\phantom{140)9}30\\\end{array}
Find closest multiple of 140 to 870. We see that 6 \times 140 = 840 is the nearest. Now subtract 840 from 870 to get reminder 30. Add 6 to quotient.
\begin{array}{l}\phantom{140)}006\phantom{7}\\140\overline{)8700}\\\phantom{140)}\underline{\phantom{}840\phantom{9}}\\\phantom{140)9}300\\\end{array}
Use the 4^{th} digit 0 from dividend 8700
\begin{array}{l}\phantom{140)}0062\phantom{8}\\140\overline{)8700}\\\phantom{140)}\underline{\phantom{}840\phantom{9}}\\\phantom{140)9}300\\\phantom{140)}\underline{\phantom{9}280\phantom{}}\\\phantom{140)99}20\\\end{array}
Find closest multiple of 140 to 300. We see that 2 \times 140 = 280 is the nearest. Now subtract 280 from 300 to get reminder 20. Add 2 to quotient.
\text{Quotient: }62 \text{Reminder: }20
Since 20 is less than 140, stop the division. The reminder is 20. The topmost line 0062 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 62.
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}