Solve 165/34

$$\frac{ 165 }{ 34 }$$

Evaluate

$$\frac{165}{34}\approx 4.852941176$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 165

$$\begin{array}{l}\phantom{34)}\phantom{1}\\34\overline{)165}\\\end{array}$$

Since 1 is less than 34, use the next digit 6 from dividend 165 and add 0 to the quotient

$$\begin{array}{l}\phantom{34)}0\phantom{2}\\34\overline{)165}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 165

$$\begin{array}{l}\phantom{34)}0\phantom{3}\\34\overline{)165}\\\end{array}$$

Since 16 is less than 34, use the next digit 5 from dividend 165 and add 0 to the quotient

$$\begin{array}{l}\phantom{34)}00\phantom{4}\\34\overline{)165}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 165

$$\begin{array}{l}\phantom{34)}00\phantom{5}\\34\overline{)165}\\\end{array}$$

Find closest multiple of 34 to 165. We see that 4 \times 34 = 136 is the nearest. Now subtract 136 from 165 to get reminder 29. Add 4 to quotient.

$$\begin{array}{l}\phantom{34)}004\phantom{6}\\34\overline{)165}\\\phantom{34)}\underline{\phantom{}136\phantom{}}\\\phantom{34)9}29\\\end{array}$$

Since 29 is less than 34, stop the division. The reminder is 29. The topmost line 004 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.

$$\text{Quotient: }4 \text{Reminder: }29$$

Factor

$$\frac{3 \cdot 5 \cdot 11}{2 \cdot 17} = 4\frac{29}{34} = 4.852941176470588$$