Solve 175div30

$$175 \div 30$$

Evaluate

$$\frac{35}{6}\approx 5.833333333$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 175

$$\begin{array}{l}\phantom{30)}\phantom{1}\\30\overline{)175}\\\end{array}$$

Since 1 is less than 30, use the next digit 7 from dividend 175 and add 0 to the quotient

$$\begin{array}{l}\phantom{30)}0\phantom{2}\\30\overline{)175}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 175

$$\begin{array}{l}\phantom{30)}0\phantom{3}\\30\overline{)175}\\\end{array}$$

Since 17 is less than 30, use the next digit 5 from dividend 175 and add 0 to the quotient

$$\begin{array}{l}\phantom{30)}00\phantom{4}\\30\overline{)175}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 175

$$\begin{array}{l}\phantom{30)}00\phantom{5}\\30\overline{)175}\\\end{array}$$

Find closest multiple of 30 to 175. We see that 5 \times 30 = 150 is the nearest. Now subtract 150 from 175 to get reminder 25. Add 5 to quotient.

$$\begin{array}{l}\phantom{30)}005\phantom{6}\\30\overline{)175}\\\phantom{30)}\underline{\phantom{}150\phantom{}}\\\phantom{30)9}25\\\end{array}$$

Since 25 is less than 30, stop the division. The reminder is 25. The topmost line 005 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.

$$\text{Quotient: }5 \text{Reminder: }25$$

Factor

$$\frac{5 \cdot 7}{2 \cdot 3} = 5\frac{5}{6} = 5.833333333333333$$