Solve 2942div28

$$2942 \div 28$$

Evaluate

$$\frac{1471}{14}\approx 105.071428571$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2942

$$\begin{array}{l}\phantom{28)}\phantom{1}\\28\overline{)2942}\\\end{array}$$

Since 2 is less than 28, use the next digit 9 from dividend 2942 and add 0 to the quotient

$$\begin{array}{l}\phantom{28)}0\phantom{2}\\28\overline{)2942}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 2942

$$\begin{array}{l}\phantom{28)}0\phantom{3}\\28\overline{)2942}\\\end{array}$$

Find closest multiple of 28 to 29. We see that 1 \times 28 = 28 is the nearest. Now subtract 28 from 29 to get reminder 1. Add 1 to quotient.

$$\begin{array}{l}\phantom{28)}01\phantom{4}\\28\overline{)2942}\\\phantom{28)}\underline{\phantom{}28\phantom{99}}\\\phantom{28)9}1\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 2942

$$\begin{array}{l}\phantom{28)}01\phantom{5}\\28\overline{)2942}\\\phantom{28)}\underline{\phantom{}28\phantom{99}}\\\phantom{28)9}14\\\end{array}$$

Since 14 is less than 28, use the next digit 2 from dividend 2942 and add 0 to the quotient

$$\begin{array}{l}\phantom{28)}010\phantom{6}\\28\overline{)2942}\\\phantom{28)}\underline{\phantom{}28\phantom{99}}\\\phantom{28)9}14\\\end{array}$$

Use the 4^{th} digit 2 from dividend 2942

$$\begin{array}{l}\phantom{28)}010\phantom{7}\\28\overline{)2942}\\\phantom{28)}\underline{\phantom{}28\phantom{99}}\\\phantom{28)9}142\\\end{array}$$

Find closest multiple of 28 to 142. We see that 5 \times 28 = 140 is the nearest. Now subtract 140 from 142 to get reminder 2. Add 5 to quotient.

$$\begin{array}{l}\phantom{28)}0105\phantom{8}\\28\overline{)2942}\\\phantom{28)}\underline{\phantom{}28\phantom{99}}\\\phantom{28)9}142\\\phantom{28)}\underline{\phantom{9}140\phantom{}}\\\phantom{28)999}2\\\end{array}$$

Since 2 is less than 28, stop the division. The reminder is 2. The topmost line 0105 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 105.

$$\text{Quotient: }105 \text{Reminder: }2$$

Factor

$$\frac{1471}{2 \cdot 7} = 105\frac{1}{14} = 105.07142857142857$$