Question

162097÷76 how to divided Explain please

Answer 1

$\large\color{lime}\boxed{\colorbox{black}{Answer : - }}$

$162097 \div 76$

$Use \: the \: 1^{st} \: digit \: 1 \: from \: \\ dividend \: 162097$

$\begin{array}{l}\phantom{76)}\phantom{1}\\76\overline{)162097}\\\end{array}$

$Since \: 1 \: is \: less \: than \: 76, \: use \\ the \: next \: digit \: 6 \: from \: dividend \\ 162097 \: and \: add \: 0 \: t o \: the \: quotient \:$

$\begin{array}{l}\phantom{76)}0\phantom{2}\\76\overline{)162097}\\\end{array}$

$Use \: the \: 2^{nd} \: digit \: 6 \: from \\ dividend \: 162097$

$\begin{array}{l}\phantom{76)}0\phantom{3}\\76\overline{)162097}\\\end{array}$

$Since \: 16 \: is \: less \: than \: 76, \: use \\ the \: next \: digit \: 2 \: from \: dividend \\ 162097 \: and \: add \: 0 \: to \: the \: quotient$

$\begin{array}{l}\phantom{76)}00\phantom{4}\\76\overline{)162097}\\\end{array}$

$Use \: the \: 3^{rd} \: digit \: 2 \: from \: \\ dividend \: 162097$

$\begin{array}{l}\phantom{76)}00\phantom{5}\\76\overline{)162097}\\\end{array}$

$Find \: closest \: multiple \: of \: \\ 76 \: to \: 162. \: We \: see \: that \\ 2 \times 76 = 152 \: is \: the \: nearest. \: \\ Now \: subtract \: 152 \: from \: 162 \: to \\ get \: reminder \: 10. \: Add \: 2 \: to \\ quotient.$

$\begin{array}{l}\phantom{76)}002\phantom{6}\\76\overline{)162097}\\\phantom{76)}\underline{\phantom{}152\phantom{999}}\\\phantom{76)9}10\\\end{array}$

$Use \: the \: 4^{th} \: digit \: 0 \: from \\ dividend \: 162097$

$\begin{array}{l}\phantom{76)}002\phantom{7}\\76\overline{)162097}\\\phantom{76)}\underline{\phantom{}152\phantom{999}}\\\phantom{76)9}100\\\end{array}$

$Find \: closest \: multiple \: of \: 76 \: to \\ 100. \: We \: see that \: 1 \times 76 = 76 \: is \\ the \: nearest. \: Now \: subtract \: 76 \\ from \: 100 \: to \: get \: reminder \: 24. \\ Add \: 1 \: to \: quotient.$

$\begin{array}{l}\phantom{76)}0021\phantom{8}\\76\overline{)162097}\\\phantom{76)}\underline{\phantom{}152\phantom{999}}\\\phantom{76)9}100\\\phantom{76)}\underline{\phantom{99}76\phantom{99}}\\\phantom{76)99}24\\\end{array}$

$Use \: the \: 5^{th} \: digit \: 9 \: from \: \\ dividend \: 162097$

$\begin{array}{l}\phantom{76)}0021\phantom{9}\\76\overline{)162097}\\\phantom{76)}\underline{\phantom{}152\phantom{999}}\\\phantom{76)9}100\\\phantom{76)}\underline{\phantom{99}76\phantom{99}}\\\phantom{76)99}249\\\end{array}$

$Find \: closest \: multiple \: of \: 76 \: to \: 249. \\ \: We \: see \: that \: 3 \times 76 = 228 \: is \\ the \: nearest. \: Now \: subtract \: 228 \\ from \: 249 \: to \: get \: reminder \: 21. \\ Add \: 3 \: to \: quotient.$

$\begin{array}{l}\phantom{76)}00213\phantom{10}\\76\overline{)162097}\\\phantom{76)}\underline{\phantom{}152\phantom{999}}\\\phantom{76)9}100\\\phantom{76)}\underline{\phantom{99}76\phantom{99}}\\\phantom{76)99}249\\\phantom{76)}\underline{\phantom{99}228\phantom{9}}\\\phantom{76)999}21\\\end{array}$

$Use \: the \: 6^{th} \: digit \: 7 \: from \: \\ dividend \: 162097$

$\begin{array}{l}\phantom{76)}00213\phantom{11}\\76\overline{)162097}\\\phantom{76)}\underline{\phantom{}152\phantom{999}}\\\phantom{76)9}100\\\phantom{76)}\underline{\phantom{99}76\phantom{99}}\\\phantom{76)99}249\\\phantom{76)}\underline{\phantom{99}228\phantom{9}}\\\phantom{76)999}217\\\end{array}$

$Find \: closest \: multiple \: of \: 76 to 217. \\ We \: see \: that \: 2 \times 76 = 152 \: is \: the \\ nearest. \: Now \: subtract \: 152 \: from \\ 217 \: to \: get \: reminder \: 65. \: Add \: 2 \: to \\ quotient.$

$\begin{array}{l}\phantom{76)}002132\phantom{12}\\76\overline{)162097}\\\phantom{76)}\underline{\phantom{}152\phantom{999}}\\\phantom{76)9}100\\\phantom{76)}\underline{\phantom{99}76\phantom{99}}\\\phantom{76)99}249\\\phantom{76)}\underline{\phantom{99}228\phantom{9}}\\\phantom{76)999}217\\\phantom{76)}\underline{\phantom{999}152\phantom{}}\\\phantom{76)9999}65\\\end{array}$

Since 65 is less than 76, stop the division. The reminder is 65. The topmost line 002132 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2132.

$\text{Quotient: }2132 \\ \text{Reminder: }65$

$\color{red}\frac{13 \cdot 37 \cdot 337}{2 ^ {2} \cdot 19} = \\ \color{blue}2132\frac{65}{76} \approx 2132.855263158$