Solve 4362div365

$$4362 \div 365$$

Evaluate

$$\frac{4362}{365}\approx 11.950684932$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 4362

$$\begin{array}{l}\phantom{365)}\phantom{1}\\365\overline{)4362}\\\end{array}$$

Since 4 is less than 365, use the next digit 3 from dividend 4362 and add 0 to the quotient

$$\begin{array}{l}\phantom{365)}0\phantom{2}\\365\overline{)4362}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 4362

$$\begin{array}{l}\phantom{365)}0\phantom{3}\\365\overline{)4362}\\\end{array}$$

Since 43 is less than 365, use the next digit 6 from dividend 4362 and add 0 to the quotient

$$\begin{array}{l}\phantom{365)}00\phantom{4}\\365\overline{)4362}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 4362

$$\begin{array}{l}\phantom{365)}00\phantom{5}\\365\overline{)4362}\\\end{array}$$

Find closest multiple of 365 to 436. We see that 1 \times 365 = 365 is the nearest. Now subtract 365 from 436 to get reminder 71. Add 1 to quotient.

$$\begin{array}{l}\phantom{365)}001\phantom{6}\\365\overline{)4362}\\\phantom{365)}\underline{\phantom{}365\phantom{9}}\\\phantom{365)9}71\\\end{array}$$

Use the 4^{th} digit 2 from dividend 4362

$$\begin{array}{l}\phantom{365)}001\phantom{7}\\365\overline{)4362}\\\phantom{365)}\underline{\phantom{}365\phantom{9}}\\\phantom{365)9}712\\\end{array}$$

Find closest multiple of 365 to 712. We see that 1 \times 365 = 365 is the nearest. Now subtract 365 from 712 to get reminder 347. Add 1 to quotient.

$$\begin{array}{l}\phantom{365)}0011\phantom{8}\\365\overline{)4362}\\\phantom{365)}\underline{\phantom{}365\phantom{9}}\\\phantom{365)9}712\\\phantom{365)}\underline{\phantom{9}365\phantom{}}\\\phantom{365)9}347\\\end{array}$$

Since 347 is less than 365, stop the division. The reminder is 347. The topmost line 0011 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 11.

$$\text{Quotient: }11 \text{Reminder: }347$$

Factor

$$\frac{2 \cdot 3 \cdot 727}{5 \cdot 73} = 11\frac{347}{365} = 11.95068493150685$$