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521
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521
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\begin{array}{l}\phantom{207)}\phantom{1}\\207\overline{)107847}\\\end{array}
Use the 1^{st} digit 1 from dividend 107847
\begin{array}{l}\phantom{207)}0\phantom{2}\\207\overline{)107847}\\\end{array}
Since 1 is less than 207, use the next digit 0 from dividend 107847 and add 0 to the quotient
\begin{array}{l}\phantom{207)}0\phantom{3}\\207\overline{)107847}\\\end{array}
Use the 2^{nd} digit 0 from dividend 107847
\begin{array}{l}\phantom{207)}00\phantom{4}\\207\overline{)107847}\\\end{array}
Since 10 is less than 207, use the next digit 7 from dividend 107847 and add 0 to the quotient
\begin{array}{l}\phantom{207)}00\phantom{5}\\207\overline{)107847}\\\end{array}
Use the 3^{rd} digit 7 from dividend 107847
\begin{array}{l}\phantom{207)}000\phantom{6}\\207\overline{)107847}\\\end{array}
Since 107 is less than 207, use the next digit 8 from dividend 107847 and add 0 to the quotient
\begin{array}{l}\phantom{207)}000\phantom{7}\\207\overline{)107847}\\\end{array}
Use the 4^{th} digit 8 from dividend 107847
\begin{array}{l}\phantom{207)}0005\phantom{8}\\207\overline{)107847}\\\phantom{207)}\underline{\phantom{}1035\phantom{99}}\\\phantom{207)99}43\\\end{array}
Find closest multiple of 207 to 1078. We see that 5 \times 207 = 1035 is the nearest. Now subtract 1035 from 1078 to get reminder 43. Add 5 to quotient.
\begin{array}{l}\phantom{207)}0005\phantom{9}\\207\overline{)107847}\\\phantom{207)}\underline{\phantom{}1035\phantom{99}}\\\phantom{207)99}434\\\end{array}
Use the 5^{th} digit 4 from dividend 107847
\begin{array}{l}\phantom{207)}00052\phantom{10}\\207\overline{)107847}\\\phantom{207)}\underline{\phantom{}1035\phantom{99}}\\\phantom{207)99}434\\\phantom{207)}\underline{\phantom{99}414\phantom{9}}\\\phantom{207)999}20\\\end{array}
Find closest multiple of 207 to 434. We see that 2 \times 207 = 414 is the nearest. Now subtract 414 from 434 to get reminder 20. Add 2 to quotient.
\begin{array}{l}\phantom{207)}00052\phantom{11}\\207\overline{)107847}\\\phantom{207)}\underline{\phantom{}1035\phantom{99}}\\\phantom{207)99}434\\\phantom{207)}\underline{\phantom{99}414\phantom{9}}\\\phantom{207)999}207\\\end{array}
Use the 6^{th} digit 7 from dividend 107847
\begin{array}{l}\phantom{207)}000521\phantom{12}\\207\overline{)107847}\\\phantom{207)}\underline{\phantom{}1035\phantom{99}}\\\phantom{207)99}434\\\phantom{207)}\underline{\phantom{99}414\phantom{9}}\\\phantom{207)999}207\\\phantom{207)}\underline{\phantom{999}207\phantom{}}\\\phantom{207)999999}0\\\end{array}
Find closest multiple of 207 to 207. We see that 1 \times 207 = 207 is the nearest. Now subtract 207 from 207 to get reminder 0. Add 1 to quotient.
\text{Quotient: }521 \text{Reminder: }0
Since 0 is less than 207, stop the division. The reminder is 0. The topmost line 000521 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 521.
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}