Solve 6130/212

$$\frac { 6130 } { 212 }$$

Evaluate

$$\frac{3065}{106}\approx 28.91509434$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 6130

$$\begin{array}{l}\phantom{212)}\phantom{1}\\212\overline{)6130}\\\end{array}$$

Since 6 is less than 212, use the next digit 1 from dividend 6130 and add 0 to the quotient

$$\begin{array}{l}\phantom{212)}0\phantom{2}\\212\overline{)6130}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 6130

$$\begin{array}{l}\phantom{212)}0\phantom{3}\\212\overline{)6130}\\\end{array}$$

Since 61 is less than 212, use the next digit 3 from dividend 6130 and add 0 to the quotient

$$\begin{array}{l}\phantom{212)}00\phantom{4}\\212\overline{)6130}\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 6130

$$\begin{array}{l}\phantom{212)}00\phantom{5}\\212\overline{)6130}\\\end{array}$$

Find closest multiple of 212 to 613. We see that 2 \times 212 = 424 is the nearest. Now subtract 424 from 613 to get reminder 189. Add 2 to quotient.

$$\begin{array}{l}\phantom{212)}002\phantom{6}\\212\overline{)6130}\\\phantom{212)}\underline{\phantom{}424\phantom{9}}\\\phantom{212)}189\\\end{array}$$

Use the 4^{th} digit 0 from dividend 6130

$$\begin{array}{l}\phantom{212)}002\phantom{7}\\212\overline{)6130}\\\phantom{212)}\underline{\phantom{}424\phantom{9}}\\\phantom{212)}1890\\\end{array}$$

Find closest multiple of 212 to 1890. We see that 8 \times 212 = 1696 is the nearest. Now subtract 1696 from 1890 to get reminder 194. Add 8 to quotient.

$$\begin{array}{l}\phantom{212)}0028\phantom{8}\\212\overline{)6130}\\\phantom{212)}\underline{\phantom{}424\phantom{9}}\\\phantom{212)}1890\\\phantom{212)}\underline{\phantom{}1696\phantom{}}\\\phantom{212)9}194\\\end{array}$$

Since 194 is less than 212, stop the division. The reminder is 194. The topmost line 0028 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 28.

$$\text{Quotient: }28 \text{Reminder: }194$$

Factor

$$\frac{5 \cdot 613}{2 \cdot 53} = 28\frac{97}{106} = 28.91509433962264$$