Solve 3967div27

$$3967 \div 27$$

Evaluate

$$\frac{3967}{27}\approx 146.925925926$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3967

$$\begin{array}{l}\phantom{27)}\phantom{1}\\27\overline{)3967}\\\end{array}$$

Since 3 is less than 27, use the next digit 9 from dividend 3967 and add 0 to the quotient

$$\begin{array}{l}\phantom{27)}0\phantom{2}\\27\overline{)3967}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 3967

$$\begin{array}{l}\phantom{27)}0\phantom{3}\\27\overline{)3967}\\\end{array}$$

Find closest multiple of 27 to 39. We see that 1 \times 27 = 27 is the nearest. Now subtract 27 from 39 to get reminder 12. Add 1 to quotient.

$$\begin{array}{l}\phantom{27)}01\phantom{4}\\27\overline{)3967}\\\phantom{27)}\underline{\phantom{}27\phantom{99}}\\\phantom{27)}12\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 3967

$$\begin{array}{l}\phantom{27)}01\phantom{5}\\27\overline{)3967}\\\phantom{27)}\underline{\phantom{}27\phantom{99}}\\\phantom{27)}126\\\end{array}$$

Find closest multiple of 27 to 126. We see that 4 \times 27 = 108 is the nearest. Now subtract 108 from 126 to get reminder 18. Add 4 to quotient.

$$\begin{array}{l}\phantom{27)}014\phantom{6}\\27\overline{)3967}\\\phantom{27)}\underline{\phantom{}27\phantom{99}}\\\phantom{27)}126\\\phantom{27)}\underline{\phantom{}108\phantom{9}}\\\phantom{27)9}18\\\end{array}$$

Use the 4^{th} digit 7 from dividend 3967

$$\begin{array}{l}\phantom{27)}014\phantom{7}\\27\overline{)3967}\\\phantom{27)}\underline{\phantom{}27\phantom{99}}\\\phantom{27)}126\\\phantom{27)}\underline{\phantom{}108\phantom{9}}\\\phantom{27)9}187\\\end{array}$$

Find closest multiple of 27 to 187. We see that 6 \times 27 = 162 is the nearest. Now subtract 162 from 187 to get reminder 25. Add 6 to quotient.

$$\begin{array}{l}\phantom{27)}0146\phantom{8}\\27\overline{)3967}\\\phantom{27)}\underline{\phantom{}27\phantom{99}}\\\phantom{27)}126\\\phantom{27)}\underline{\phantom{}108\phantom{9}}\\\phantom{27)9}187\\\phantom{27)}\underline{\phantom{9}162\phantom{}}\\\phantom{27)99}25\\\end{array}$$

Since 25 is less than 27, stop the division. The reminder is 25. The topmost line 0146 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 146.

$$\text{Quotient: }146 \text{Reminder: }25$$

Factor

$$\frac{3967}{3 ^ {3}} = 146\frac{25}{27} = 146.92592592592592$$