Solve 115div33

$$115 \div 33$$

Evaluate

$$\frac{115}{33}\approx 3.484848485$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 115

$$\begin{array}{l}\phantom{33)}\phantom{1}\\33\overline{)115}\\\end{array}$$

Since 1 is less than 33, use the next digit 1 from dividend 115 and add 0 to the quotient

$$\begin{array}{l}\phantom{33)}0\phantom{2}\\33\overline{)115}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 115

$$\begin{array}{l}\phantom{33)}0\phantom{3}\\33\overline{)115}\\\end{array}$$

Since 11 is less than 33, use the next digit 5 from dividend 115 and add 0 to the quotient

$$\begin{array}{l}\phantom{33)}00\phantom{4}\\33\overline{)115}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 115

$$\begin{array}{l}\phantom{33)}00\phantom{5}\\33\overline{)115}\\\end{array}$$

Find closest multiple of 33 to 115. We see that 3 \times 33 = 99 is the nearest. Now subtract 99 from 115 to get reminder 16. Add 3 to quotient.

$$\begin{array}{l}\phantom{33)}003\phantom{6}\\33\overline{)115}\\\phantom{33)}\underline{\phantom{9}99\phantom{}}\\\phantom{33)9}16\\\end{array}$$

Since 16 is less than 33, stop the division. The reminder is 16. The topmost line 003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.

$$\text{Quotient: }3 \text{Reminder: }16$$

Factor

$$\frac{5 \cdot 23}{3 \cdot 11} = 3\frac{16}{33} = 3.484848484848485$$