Evaluate
\frac{328251207}{178}\approx 1844107.904494382
Factor
\frac{3 \cdot 41 \cdot 43 \cdot 53 \cdot 1171}{2 \cdot 89} = 1844107\frac{161}{178} = 1844107.904494382
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\begin{array}{l}\phantom{534)}\phantom{1}\\534\overline{)984753621}\\\end{array}
Use the 1^{st} digit 9 from dividend 984753621
\begin{array}{l}\phantom{534)}0\phantom{2}\\534\overline{)984753621}\\\end{array}
Since 9 is less than 534, use the next digit 8 from dividend 984753621 and add 0 to the quotient
\begin{array}{l}\phantom{534)}0\phantom{3}\\534\overline{)984753621}\\\end{array}
Use the 2^{nd} digit 8 from dividend 984753621
\begin{array}{l}\phantom{534)}00\phantom{4}\\534\overline{)984753621}\\\end{array}
Since 98 is less than 534, use the next digit 4 from dividend 984753621 and add 0 to the quotient
\begin{array}{l}\phantom{534)}00\phantom{5}\\534\overline{)984753621}\\\end{array}
Use the 3^{rd} digit 4 from dividend 984753621
\begin{array}{l}\phantom{534)}001\phantom{6}\\534\overline{)984753621}\\\phantom{534)}\underline{\phantom{}534\phantom{999999}}\\\phantom{534)}450\\\end{array}
Find closest multiple of 534 to 984. We see that 1 \times 534 = 534 is the nearest. Now subtract 534 from 984 to get reminder 450. Add 1 to quotient.
\begin{array}{l}\phantom{534)}001\phantom{7}\\534\overline{)984753621}\\\phantom{534)}\underline{\phantom{}534\phantom{999999}}\\\phantom{534)}4507\\\end{array}
Use the 4^{th} digit 7 from dividend 984753621
\begin{array}{l}\phantom{534)}0018\phantom{8}\\534\overline{)984753621}\\\phantom{534)}\underline{\phantom{}534\phantom{999999}}\\\phantom{534)}4507\\\phantom{534)}\underline{\phantom{}4272\phantom{99999}}\\\phantom{534)9}235\\\end{array}
Find closest multiple of 534 to 4507. We see that 8 \times 534 = 4272 is the nearest. Now subtract 4272 from 4507 to get reminder 235. Add 8 to quotient.
\begin{array}{l}\phantom{534)}0018\phantom{9}\\534\overline{)984753621}\\\phantom{534)}\underline{\phantom{}534\phantom{999999}}\\\phantom{534)}4507\\\phantom{534)}\underline{\phantom{}4272\phantom{99999}}\\\phantom{534)9}2355\\\end{array}
Use the 5^{th} digit 5 from dividend 984753621
\begin{array}{l}\phantom{534)}00184\phantom{10}\\534\overline{)984753621}\\\phantom{534)}\underline{\phantom{}534\phantom{999999}}\\\phantom{534)}4507\\\phantom{534)}\underline{\phantom{}4272\phantom{99999}}\\\phantom{534)9}2355\\\phantom{534)}\underline{\phantom{9}2136\phantom{9999}}\\\phantom{534)99}219\\\end{array}
Find closest multiple of 534 to 2355. We see that 4 \times 534 = 2136 is the nearest. Now subtract 2136 from 2355 to get reminder 219. Add 4 to quotient.
\begin{array}{l}\phantom{534)}00184\phantom{11}\\534\overline{)984753621}\\\phantom{534)}\underline{\phantom{}534\phantom{999999}}\\\phantom{534)}4507\\\phantom{534)}\underline{\phantom{}4272\phantom{99999}}\\\phantom{534)9}2355\\\phantom{534)}\underline{\phantom{9}2136\phantom{9999}}\\\phantom{534)99}2193\\\end{array}
Use the 6^{th} digit 3 from dividend 984753621
\begin{array}{l}\phantom{534)}001844\phantom{12}\\534\overline{)984753621}\\\phantom{534)}\underline{\phantom{}534\phantom{999999}}\\\phantom{534)}4507\\\phantom{534)}\underline{\phantom{}4272\phantom{99999}}\\\phantom{534)9}2355\\\phantom{534)}\underline{\phantom{9}2136\phantom{9999}}\\\phantom{534)99}2193\\\phantom{534)}\underline{\phantom{99}2136\phantom{999}}\\\phantom{534)9999}57\\\end{array}
Find closest multiple of 534 to 2193. We see that 4 \times 534 = 2136 is the nearest. Now subtract 2136 from 2193 to get reminder 57. Add 4 to quotient.
\begin{array}{l}\phantom{534)}001844\phantom{13}\\534\overline{)984753621}\\\phantom{534)}\underline{\phantom{}534\phantom{999999}}\\\phantom{534)}4507\\\phantom{534)}\underline{\phantom{}4272\phantom{99999}}\\\phantom{534)9}2355\\\phantom{534)}\underline{\phantom{9}2136\phantom{9999}}\\\phantom{534)99}2193\\\phantom{534)}\underline{\phantom{99}2136\phantom{999}}\\\phantom{534)9999}576\\\end{array}
Use the 7^{th} digit 6 from dividend 984753621
\begin{array}{l}\phantom{534)}0018441\phantom{14}\\534\overline{)984753621}\\\phantom{534)}\underline{\phantom{}534\phantom{999999}}\\\phantom{534)}4507\\\phantom{534)}\underline{\phantom{}4272\phantom{99999}}\\\phantom{534)9}2355\\\phantom{534)}\underline{\phantom{9}2136\phantom{9999}}\\\phantom{534)99}2193\\\phantom{534)}\underline{\phantom{99}2136\phantom{999}}\\\phantom{534)9999}576\\\phantom{534)}\underline{\phantom{9999}534\phantom{99}}\\\phantom{534)99999}42\\\end{array}
Find closest multiple of 534 to 576. We see that 1 \times 534 = 534 is the nearest. Now subtract 534 from 576 to get reminder 42. Add 1 to quotient.
\begin{array}{l}\phantom{534)}0018441\phantom{15}\\534\overline{)984753621}\\\phantom{534)}\underline{\phantom{}534\phantom{999999}}\\\phantom{534)}4507\\\phantom{534)}\underline{\phantom{}4272\phantom{99999}}\\\phantom{534)9}2355\\\phantom{534)}\underline{\phantom{9}2136\phantom{9999}}\\\phantom{534)99}2193\\\phantom{534)}\underline{\phantom{99}2136\phantom{999}}\\\phantom{534)9999}576\\\phantom{534)}\underline{\phantom{9999}534\phantom{99}}\\\phantom{534)99999}422\\\end{array}
Use the 8^{th} digit 2 from dividend 984753621
\begin{array}{l}\phantom{534)}00184410\phantom{16}\\534\overline{)984753621}\\\phantom{534)}\underline{\phantom{}534\phantom{999999}}\\\phantom{534)}4507\\\phantom{534)}\underline{\phantom{}4272\phantom{99999}}\\\phantom{534)9}2355\\\phantom{534)}\underline{\phantom{9}2136\phantom{9999}}\\\phantom{534)99}2193\\\phantom{534)}\underline{\phantom{99}2136\phantom{999}}\\\phantom{534)9999}576\\\phantom{534)}\underline{\phantom{9999}534\phantom{99}}\\\phantom{534)99999}422\\\end{array}
Since 422 is less than 534, use the next digit 1 from dividend 984753621 and add 0 to the quotient
\begin{array}{l}\phantom{534)}00184410\phantom{17}\\534\overline{)984753621}\\\phantom{534)}\underline{\phantom{}534\phantom{999999}}\\\phantom{534)}4507\\\phantom{534)}\underline{\phantom{}4272\phantom{99999}}\\\phantom{534)9}2355\\\phantom{534)}\underline{\phantom{9}2136\phantom{9999}}\\\phantom{534)99}2193\\\phantom{534)}\underline{\phantom{99}2136\phantom{999}}\\\phantom{534)9999}576\\\phantom{534)}\underline{\phantom{9999}534\phantom{99}}\\\phantom{534)99999}4221\\\end{array}
Use the 9^{th} digit 1 from dividend 984753621
\begin{array}{l}\phantom{534)}001844107\phantom{18}\\534\overline{)984753621}\\\phantom{534)}\underline{\phantom{}534\phantom{999999}}\\\phantom{534)}4507\\\phantom{534)}\underline{\phantom{}4272\phantom{99999}}\\\phantom{534)9}2355\\\phantom{534)}\underline{\phantom{9}2136\phantom{9999}}\\\phantom{534)99}2193\\\phantom{534)}\underline{\phantom{99}2136\phantom{999}}\\\phantom{534)9999}576\\\phantom{534)}\underline{\phantom{9999}534\phantom{99}}\\\phantom{534)99999}4221\\\phantom{534)}\underline{\phantom{99999}3738\phantom{}}\\\phantom{534)999999}483\\\end{array}
Find closest multiple of 534 to 4221. We see that 7 \times 534 = 3738 is the nearest. Now subtract 3738 from 4221 to get reminder 483. Add 7 to quotient.
\text{Quotient: }1844107 \text{Reminder: }483
Since 483 is less than 534, stop the division. The reminder is 483. The topmost line 001844107 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1844107.
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}