Question

1. 70\sqrt{6766}=96

-630
466
420
46

1. 19\sqrt{4598}

Explanation:

Step1: Long - division for \(6766\div70\)

We start by seeing how many times \(70\) goes into \(676\). \(70\times9 = 630\), \(676-630 = 46\), then bring down the \(6\). \(466\div70\), \(70\times6=420\), \(466 - 420=46\). So the quotient is \(96\) and the remainder is \(46\).

Step2: Long - division for \(4598\div19\)

We break it down into steps of dividing the multi - digit number by \(19\) digit - by - digit. First, divide the first two digits \(45\) by \(19\), then bring down the next digit and continue the process until all digits are processed. The final quotient is \(242\) with a remainder of \(0\).

Answer:

1. For \(6766\div70\), the quotient is \(96\) and the remainder is \(46\).
2. For \(4598\div19\):

• First, find the quotient digit - by - digit. \(45\div19 = 2\) with a remainder of \(45-19\times2=45 - 38 = 7\).
• Bring down the next digit \(9\) to get \(79\). \(79\div19 = 4\) with a remainder of \(79-19\times4=79 - 76 = 3\).
• Bring down the last digit \(8\) to get \(38\). \(38\div19=2\) with no remainder. So \(4598\div19 = 242\).