Solve 1954div365=

$$1954 \div 365=$$

Evaluate

$$\frac{1954}{365}\approx 5.353424658$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1954

$$\begin{array}{l}\phantom{365)}\phantom{1}\\365\overline{)1954}\\\end{array}$$

Since 1 is less than 365, use the next digit 9 from dividend 1954 and add 0 to the quotient

$$\begin{array}{l}\phantom{365)}0\phantom{2}\\365\overline{)1954}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 1954

$$\begin{array}{l}\phantom{365)}0\phantom{3}\\365\overline{)1954}\\\end{array}$$

Since 19 is less than 365, use the next digit 5 from dividend 1954 and add 0 to the quotient

$$\begin{array}{l}\phantom{365)}00\phantom{4}\\365\overline{)1954}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 1954

$$\begin{array}{l}\phantom{365)}00\phantom{5}\\365\overline{)1954}\\\end{array}$$

Since 195 is less than 365, use the next digit 4 from dividend 1954 and add 0 to the quotient

$$\begin{array}{l}\phantom{365)}000\phantom{6}\\365\overline{)1954}\\\end{array}$$

Use the 4^{th} digit 4 from dividend 1954

$$\begin{array}{l}\phantom{365)}000\phantom{7}\\365\overline{)1954}\\\end{array}$$

Find closest multiple of 365 to 1954. We see that 5 \times 365 = 1825 is the nearest. Now subtract 1825 from 1954 to get reminder 129. Add 5 to quotient.

$$\begin{array}{l}\phantom{365)}0005\phantom{8}\\365\overline{)1954}\\\phantom{365)}\underline{\phantom{}1825\phantom{}}\\\phantom{365)9}129\\\end{array}$$

Since 129 is less than 365, stop the division. The reminder is 129. The topmost line 0005 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.

$$\text{Quotient: }5 \text{Reminder: }129$$

Factor

$$\frac{2 \cdot 977}{5 \cdot 73} = 5\frac{129}{365} = 5.353424657534247$$