Solve 1070div365

$$1070 \div 365$$

Evaluate

$$\frac{214}{73}\approx 2.931506849$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1070

$$\begin{array}{l}\phantom{365)}\phantom{1}\\365\overline{)1070}\\\end{array}$$

Since 1 is less than 365, use the next digit 0 from dividend 1070 and add 0 to the quotient

$$\begin{array}{l}\phantom{365)}0\phantom{2}\\365\overline{)1070}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 1070

$$\begin{array}{l}\phantom{365)}0\phantom{3}\\365\overline{)1070}\\\end{array}$$

Since 10 is less than 365, use the next digit 7 from dividend 1070 and add 0 to the quotient

$$\begin{array}{l}\phantom{365)}00\phantom{4}\\365\overline{)1070}\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 1070

$$\begin{array}{l}\phantom{365)}00\phantom{5}\\365\overline{)1070}\\\end{array}$$

Since 107 is less than 365, use the next digit 0 from dividend 1070 and add 0 to the quotient

$$\begin{array}{l}\phantom{365)}000\phantom{6}\\365\overline{)1070}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 1070

$$\begin{array}{l}\phantom{365)}000\phantom{7}\\365\overline{)1070}\\\end{array}$$

Find closest multiple of 365 to 1070. We see that 2 \times 365 = 730 is the nearest. Now subtract 730 from 1070 to get reminder 340. Add 2 to quotient.

$$\begin{array}{l}\phantom{365)}0002\phantom{8}\\365\overline{)1070}\\\phantom{365)}\underline{\phantom{9}730\phantom{}}\\\phantom{365)9}340\\\end{array}$$

Since 340 is less than 365, stop the division. The reminder is 340. The topmost line 0002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }340$$

Factor

$$\frac{2 \cdot 107}{73} = 2\frac{68}{73} = 2.9315068493150687$$