Solve 5525div84

$$5525 \div 84$$

Evaluate

$$\frac{5525}{84}\approx 65.773809524$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 5525

$$\begin{array}{l}\phantom{84)}\phantom{1}\\84\overline{)5525}\\\end{array}$$

Since 5 is less than 84, use the next digit 5 from dividend 5525 and add 0 to the quotient

$$\begin{array}{l}\phantom{84)}0\phantom{2}\\84\overline{)5525}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 5525

$$\begin{array}{l}\phantom{84)}0\phantom{3}\\84\overline{)5525}\\\end{array}$$

Since 55 is less than 84, use the next digit 2 from dividend 5525 and add 0 to the quotient

$$\begin{array}{l}\phantom{84)}00\phantom{4}\\84\overline{)5525}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 5525

$$\begin{array}{l}\phantom{84)}00\phantom{5}\\84\overline{)5525}\\\end{array}$$

Find closest multiple of 84 to 552. We see that 6 \times 84 = 504 is the nearest. Now subtract 504 from 552 to get reminder 48. Add 6 to quotient.

$$\begin{array}{l}\phantom{84)}006\phantom{6}\\84\overline{)5525}\\\phantom{84)}\underline{\phantom{}504\phantom{9}}\\\phantom{84)9}48\\\end{array}$$

Use the 4^{th} digit 5 from dividend 5525

$$\begin{array}{l}\phantom{84)}006\phantom{7}\\84\overline{)5525}\\\phantom{84)}\underline{\phantom{}504\phantom{9}}\\\phantom{84)9}485\\\end{array}$$

Find closest multiple of 84 to 485. We see that 5 \times 84 = 420 is the nearest. Now subtract 420 from 485 to get reminder 65. Add 5 to quotient.

$$\begin{array}{l}\phantom{84)}0065\phantom{8}\\84\overline{)5525}\\\phantom{84)}\underline{\phantom{}504\phantom{9}}\\\phantom{84)9}485\\\phantom{84)}\underline{\phantom{9}420\phantom{}}\\\phantom{84)99}65\\\end{array}$$

Since 65 is less than 84, stop the division. The reminder is 65. The topmost line 0065 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 65.

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

Factor

$$\frac{5 ^ {2} \cdot 13 \cdot 17}{2 ^ {2} \cdot 3 \cdot 7} = 65\frac{65}{84} = 65.77380952380952$$