Solve 4042/28

$$\frac { 4042 } { 28 }$$

Evaluate

$$\frac{2021}{14}\approx 144.357142857$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 4042

$$\begin{array}{l}\phantom{28)}\phantom{1}\\28\overline{)4042}\\\end{array}$$

Since 4 is less than 28, use the next digit 0 from dividend 4042 and add 0 to the quotient

$$\begin{array}{l}\phantom{28)}0\phantom{2}\\28\overline{)4042}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 4042

$$\begin{array}{l}\phantom{28)}0\phantom{3}\\28\overline{)4042}\\\end{array}$$

Find closest multiple of 28 to 40. We see that 1 \times 28 = 28 is the nearest. Now subtract 28 from 40 to get reminder 12. Add 1 to quotient.

$$\begin{array}{l}\phantom{28)}01\phantom{4}\\28\overline{)4042}\\\phantom{28)}\underline{\phantom{}28\phantom{99}}\\\phantom{28)}12\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 4042

$$\begin{array}{l}\phantom{28)}01\phantom{5}\\28\overline{)4042}\\\phantom{28)}\underline{\phantom{}28\phantom{99}}\\\phantom{28)}124\\\end{array}$$

Find closest multiple of 28 to 124. We see that 4 \times 28 = 112 is the nearest. Now subtract 112 from 124 to get reminder 12. Add 4 to quotient.

$$\begin{array}{l}\phantom{28)}014\phantom{6}\\28\overline{)4042}\\\phantom{28)}\underline{\phantom{}28\phantom{99}}\\\phantom{28)}124\\\phantom{28)}\underline{\phantom{}112\phantom{9}}\\\phantom{28)9}12\\\end{array}$$

Use the 4^{th} digit 2 from dividend 4042

$$\begin{array}{l}\phantom{28)}014\phantom{7}\\28\overline{)4042}\\\phantom{28)}\underline{\phantom{}28\phantom{99}}\\\phantom{28)}124\\\phantom{28)}\underline{\phantom{}112\phantom{9}}\\\phantom{28)9}122\\\end{array}$$

Find closest multiple of 28 to 122. We see that 4 \times 28 = 112 is the nearest. Now subtract 112 from 122 to get reminder 10. Add 4 to quotient.

$$\begin{array}{l}\phantom{28)}0144\phantom{8}\\28\overline{)4042}\\\phantom{28)}\underline{\phantom{}28\phantom{99}}\\\phantom{28)}124\\\phantom{28)}\underline{\phantom{}112\phantom{9}}\\\phantom{28)9}122\\\phantom{28)}\underline{\phantom{9}112\phantom{}}\\\phantom{28)99}10\\\end{array}$$

Since 10 is less than 28, stop the division. The reminder is 10. The topmost line 0144 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 144.

$$\text{Quotient: }144 \text{Reminder: }10$$

Factor

$$\frac{43 \cdot 47}{2 \cdot 7} = 144\frac{5}{14} = 144.35714285714286$$