Solve 463div84

$$463 \div 84$$

Evaluate

$$\frac{463}{84}\approx 5.511904762$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 463

$$\begin{array}{l}\phantom{84)}\phantom{1}\\84\overline{)463}\\\end{array}$$

Since 4 is less than 84, use the next digit 6 from dividend 463 and add 0 to the quotient

$$\begin{array}{l}\phantom{84)}0\phantom{2}\\84\overline{)463}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 463

$$\begin{array}{l}\phantom{84)}0\phantom{3}\\84\overline{)463}\\\end{array}$$

Since 46 is less than 84, use the next digit 3 from dividend 463 and add 0 to the quotient

$$\begin{array}{l}\phantom{84)}00\phantom{4}\\84\overline{)463}\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 463

$$\begin{array}{l}\phantom{84)}00\phantom{5}\\84\overline{)463}\\\end{array}$$

Find closest multiple of 84 to 463. We see that 5 \times 84 = 420 is the nearest. Now subtract 420 from 463 to get reminder 43. Add 5 to quotient.

$$\begin{array}{l}\phantom{84)}005\phantom{6}\\84\overline{)463}\\\phantom{84)}\underline{\phantom{}420\phantom{}}\\\phantom{84)9}43\\\end{array}$$

Since 43 is less than 84, stop the division. The reminder is 43. The topmost line 005 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.

$$\text{Quotient: }5 \text{Reminder: }43$$

Factor

$$\frac{463}{2 ^ {2} \cdot 3 \cdot 7} = 5\frac{43}{84} = 5.511904761904762$$