Solve 3987div28

$$3987 \div 28$$

Evaluate

$$\frac{3987}{28}\approx 142.392857143$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3987

$$\begin{array}{l}\phantom{28)}\phantom{1}\\28\overline{)3987}\\\end{array}$$

Since 3 is less than 28, use the next digit 9 from dividend 3987 and add 0 to the quotient

$$\begin{array}{l}\phantom{28)}0\phantom{2}\\28\overline{)3987}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 3987

$$\begin{array}{l}\phantom{28)}0\phantom{3}\\28\overline{)3987}\\\end{array}$$

Find closest multiple of 28 to 39. We see that 1 \times 28 = 28 is the nearest. Now subtract 28 from 39 to get reminder 11. Add 1 to quotient.

$$\begin{array}{l}\phantom{28)}01\phantom{4}\\28\overline{)3987}\\\phantom{28)}\underline{\phantom{}28\phantom{99}}\\\phantom{28)}11\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 3987

$$\begin{array}{l}\phantom{28)}01\phantom{5}\\28\overline{)3987}\\\phantom{28)}\underline{\phantom{}28\phantom{99}}\\\phantom{28)}118\\\end{array}$$

Find closest multiple of 28 to 118. We see that 4 \times 28 = 112 is the nearest. Now subtract 112 from 118 to get reminder 6. Add 4 to quotient.

$$\begin{array}{l}\phantom{28)}014\phantom{6}\\28\overline{)3987}\\\phantom{28)}\underline{\phantom{}28\phantom{99}}\\\phantom{28)}118\\\phantom{28)}\underline{\phantom{}112\phantom{9}}\\\phantom{28)99}6\\\end{array}$$

Use the 4^{th} digit 7 from dividend 3987

$$\begin{array}{l}\phantom{28)}014\phantom{7}\\28\overline{)3987}\\\phantom{28)}\underline{\phantom{}28\phantom{99}}\\\phantom{28)}118\\\phantom{28)}\underline{\phantom{}112\phantom{9}}\\\phantom{28)99}67\\\end{array}$$

Find closest multiple of 28 to 67. We see that 2 \times 28 = 56 is the nearest. Now subtract 56 from 67 to get reminder 11. Add 2 to quotient.

$$\begin{array}{l}\phantom{28)}0142\phantom{8}\\28\overline{)3987}\\\phantom{28)}\underline{\phantom{}28\phantom{99}}\\\phantom{28)}118\\\phantom{28)}\underline{\phantom{}112\phantom{9}}\\\phantom{28)99}67\\\phantom{28)}\underline{\phantom{99}56\phantom{}}\\\phantom{28)99}11\\\end{array}$$

Since 11 is less than 28, stop the division. The reminder is 11. The topmost line 0142 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 142.

$$\text{Quotient: }142 \text{Reminder: }11$$

Factor

$$\frac{3 ^ {2} \cdot 443}{2 ^ {2} \cdot 7} = 142\frac{11}{28} = 142.39285714285714$$