Solve 164div28

$$164 \div 28$$

Evaluate

$$\frac{41}{7}\approx 5.857142857$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 164

$$\begin{array}{l}\phantom{28)}\phantom{1}\\28\overline{)164}\\\end{array}$$

Since 1 is less than 28, use the next digit 6 from dividend 164 and add 0 to the quotient

$$\begin{array}{l}\phantom{28)}0\phantom{2}\\28\overline{)164}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 164

$$\begin{array}{l}\phantom{28)}0\phantom{3}\\28\overline{)164}\\\end{array}$$

Since 16 is less than 28, use the next digit 4 from dividend 164 and add 0 to the quotient

$$\begin{array}{l}\phantom{28)}00\phantom{4}\\28\overline{)164}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 164

$$\begin{array}{l}\phantom{28)}00\phantom{5}\\28\overline{)164}\\\end{array}$$

Find closest multiple of 28 to 164. We see that 5 \times 28 = 140 is the nearest. Now subtract 140 from 164 to get reminder 24. Add 5 to quotient.

$$\begin{array}{l}\phantom{28)}005\phantom{6}\\28\overline{)164}\\\phantom{28)}\underline{\phantom{}140\phantom{}}\\\phantom{28)9}24\\\end{array}$$

Since 24 is less than 28, stop the division. The reminder is 24. The topmost line 005 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.

$$\text{Quotient: }5 \text{Reminder: }24$$

Factor

$$\frac{41}{7} = 5\frac{6}{7} = 5.857142857142857$$