Solve 3080/29

$$\frac { 3080 } { 29 }$$

Evaluate

$$\frac{3080}{29}\approx 106.206896552$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3080

$$\begin{array}{l}\phantom{29)}\phantom{1}\\29\overline{)3080}\\\end{array}$$

Since 3 is less than 29, use the next digit 0 from dividend 3080 and add 0 to the quotient

$$\begin{array}{l}\phantom{29)}0\phantom{2}\\29\overline{)3080}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 3080

$$\begin{array}{l}\phantom{29)}0\phantom{3}\\29\overline{)3080}\\\end{array}$$

Find closest multiple of 29 to 30. We see that 1 \times 29 = 29 is the nearest. Now subtract 29 from 30 to get reminder 1. Add 1 to quotient.

$$\begin{array}{l}\phantom{29)}01\phantom{4}\\29\overline{)3080}\\\phantom{29)}\underline{\phantom{}29\phantom{99}}\\\phantom{29)9}1\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 3080

$$\begin{array}{l}\phantom{29)}01\phantom{5}\\29\overline{)3080}\\\phantom{29)}\underline{\phantom{}29\phantom{99}}\\\phantom{29)9}18\\\end{array}$$

Since 18 is less than 29, use the next digit 0 from dividend 3080 and add 0 to the quotient

$$\begin{array}{l}\phantom{29)}010\phantom{6}\\29\overline{)3080}\\\phantom{29)}\underline{\phantom{}29\phantom{99}}\\\phantom{29)9}18\\\end{array}$$

Use the 4^{th} digit 0 from dividend 3080

$$\begin{array}{l}\phantom{29)}010\phantom{7}\\29\overline{)3080}\\\phantom{29)}\underline{\phantom{}29\phantom{99}}\\\phantom{29)9}180\\\end{array}$$

Find closest multiple of 29 to 180. We see that 6 \times 29 = 174 is the nearest. Now subtract 174 from 180 to get reminder 6. Add 6 to quotient.

$$\begin{array}{l}\phantom{29)}0106\phantom{8}\\29\overline{)3080}\\\phantom{29)}\underline{\phantom{}29\phantom{99}}\\\phantom{29)9}180\\\phantom{29)}\underline{\phantom{9}174\phantom{}}\\\phantom{29)999}6\\\end{array}$$

Since 6 is less than 29, stop the division. The reminder is 6. The topmost line 0106 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 106.

$$\text{Quotient: }106 \text{Reminder: }6$$

Factor

$$\frac{2 ^ {3} \cdot 5 \cdot 7 \cdot 11}{29} = 106\frac{6}{29} = 106.20689655172414$$