Solve 4348div365

$$4348 \div 365$$

Evaluate

$$\frac{4348}{365}\approx 11.912328767$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 4348

$$\begin{array}{l}\phantom{365)}\phantom{1}\\365\overline{)4348}\\\end{array}$$

Since 4 is less than 365, use the next digit 3 from dividend 4348 and add 0 to the quotient

$$\begin{array}{l}\phantom{365)}0\phantom{2}\\365\overline{)4348}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 4348

$$\begin{array}{l}\phantom{365)}0\phantom{3}\\365\overline{)4348}\\\end{array}$$

Since 43 is less than 365, use the next digit 4 from dividend 4348 and add 0 to the quotient

$$\begin{array}{l}\phantom{365)}00\phantom{4}\\365\overline{)4348}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 4348

$$\begin{array}{l}\phantom{365)}00\phantom{5}\\365\overline{)4348}\\\end{array}$$

Find closest multiple of 365 to 434. We see that 1 \times 365 = 365 is the nearest. Now subtract 365 from 434 to get reminder 69. Add 1 to quotient.

$$\begin{array}{l}\phantom{365)}001\phantom{6}\\365\overline{)4348}\\\phantom{365)}\underline{\phantom{}365\phantom{9}}\\\phantom{365)9}69\\\end{array}$$

Use the 4^{th} digit 8 from dividend 4348

$$\begin{array}{l}\phantom{365)}001\phantom{7}\\365\overline{)4348}\\\phantom{365)}\underline{\phantom{}365\phantom{9}}\\\phantom{365)9}698\\\end{array}$$

Find closest multiple of 365 to 698. We see that 1 \times 365 = 365 is the nearest. Now subtract 365 from 698 to get reminder 333. Add 1 to quotient.

$$\begin{array}{l}\phantom{365)}0011\phantom{8}\\365\overline{)4348}\\\phantom{365)}\underline{\phantom{}365\phantom{9}}\\\phantom{365)9}698\\\phantom{365)}\underline{\phantom{9}365\phantom{}}\\\phantom{365)9}333\\\end{array}$$

Since 333 is less than 365, stop the division. The reminder is 333. The topmost line 0011 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 11.

$$\text{Quotient: }11 \text{Reminder: }333$$

Factor

$$\frac{2 ^ {2} \cdot 1087}{5 \cdot 73} = 11\frac{333}{365} = 11.912328767123288$$