Solve 220/34

$$\frac { 220 } { 34 }$$

Evaluate

$$\frac{110}{17}\approx 6.470588235$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 220

$$\begin{array}{l}\phantom{34)}\phantom{1}\\34\overline{)220}\\\end{array}$$

Since 2 is less than 34, use the next digit 2 from dividend 220 and add 0 to the quotient

$$\begin{array}{l}\phantom{34)}0\phantom{2}\\34\overline{)220}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 220

$$\begin{array}{l}\phantom{34)}0\phantom{3}\\34\overline{)220}\\\end{array}$$

Since 22 is less than 34, use the next digit 0 from dividend 220 and add 0 to the quotient

$$\begin{array}{l}\phantom{34)}00\phantom{4}\\34\overline{)220}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 220

$$\begin{array}{l}\phantom{34)}00\phantom{5}\\34\overline{)220}\\\end{array}$$

Find closest multiple of 34 to 220. We see that 6 \times 34 = 204 is the nearest. Now subtract 204 from 220 to get reminder 16. Add 6 to quotient.

$$\begin{array}{l}\phantom{34)}006\phantom{6}\\34\overline{)220}\\\phantom{34)}\underline{\phantom{}204\phantom{}}\\\phantom{34)9}16\\\end{array}$$

Since 16 is less than 34, stop the division. The reminder is 16. The topmost line 006 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 6.

$$\text{Quotient: }6 \text{Reminder: }16$$

Factor

$$\frac{2 \cdot 5 \cdot 11}{17} = 6\frac{8}{17} = 6.470588235294118$$