Solve 500000div365

$$500000 \div 365$$

Evaluate

$$\frac{100000}{73}\approx 1369.863013699$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 500000

$$\begin{array}{l}\phantom{365)}\phantom{1}\\365\overline{)500000}\\\end{array}$$

Since 5 is less than 365, use the next digit 0 from dividend 500000 and add 0 to the quotient

$$\begin{array}{l}\phantom{365)}0\phantom{2}\\365\overline{)500000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 500000

$$\begin{array}{l}\phantom{365)}0\phantom{3}\\365\overline{)500000}\\\end{array}$$

Since 50 is less than 365, use the next digit 0 from dividend 500000 and add 0 to the quotient

$$\begin{array}{l}\phantom{365)}00\phantom{4}\\365\overline{)500000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 500000

$$\begin{array}{l}\phantom{365)}00\phantom{5}\\365\overline{)500000}\\\end{array}$$

Find closest multiple of 365 to 500. We see that 1 \times 365 = 365 is the nearest. Now subtract 365 from 500 to get reminder 135. Add 1 to quotient.

$$\begin{array}{l}\phantom{365)}001\phantom{6}\\365\overline{)500000}\\\phantom{365)}\underline{\phantom{}365\phantom{999}}\\\phantom{365)}135\\\end{array}$$

Use the 4^{th} digit 0 from dividend 500000

$$\begin{array}{l}\phantom{365)}001\phantom{7}\\365\overline{)500000}\\\phantom{365)}\underline{\phantom{}365\phantom{999}}\\\phantom{365)}1350\\\end{array}$$

Find closest multiple of 365 to 1350. We see that 3 \times 365 = 1095 is the nearest. Now subtract 1095 from 1350 to get reminder 255. Add 3 to quotient.

$$\begin{array}{l}\phantom{365)}0013\phantom{8}\\365\overline{)500000}\\\phantom{365)}\underline{\phantom{}365\phantom{999}}\\\phantom{365)}1350\\\phantom{365)}\underline{\phantom{}1095\phantom{99}}\\\phantom{365)9}255\\\end{array}$$

Use the 5^{th} digit 0 from dividend 500000

$$\begin{array}{l}\phantom{365)}0013\phantom{9}\\365\overline{)500000}\\\phantom{365)}\underline{\phantom{}365\phantom{999}}\\\phantom{365)}1350\\\phantom{365)}\underline{\phantom{}1095\phantom{99}}\\\phantom{365)9}2550\\\end{array}$$

Find closest multiple of 365 to 2550. We see that 6 \times 365 = 2190 is the nearest. Now subtract 2190 from 2550 to get reminder 360. Add 6 to quotient.

$$\begin{array}{l}\phantom{365)}00136\phantom{10}\\365\overline{)500000}\\\phantom{365)}\underline{\phantom{}365\phantom{999}}\\\phantom{365)}1350\\\phantom{365)}\underline{\phantom{}1095\phantom{99}}\\\phantom{365)9}2550\\\phantom{365)}\underline{\phantom{9}2190\phantom{9}}\\\phantom{365)99}360\\\end{array}$$

Use the 6^{th} digit 0 from dividend 500000

$$\begin{array}{l}\phantom{365)}00136\phantom{11}\\365\overline{)500000}\\\phantom{365)}\underline{\phantom{}365\phantom{999}}\\\phantom{365)}1350\\\phantom{365)}\underline{\phantom{}1095\phantom{99}}\\\phantom{365)9}2550\\\phantom{365)}\underline{\phantom{9}2190\phantom{9}}\\\phantom{365)99}3600\\\end{array}$$

Find closest multiple of 365 to 3600. We see that 9 \times 365 = 3285 is the nearest. Now subtract 3285 from 3600 to get reminder 315. Add 9 to quotient.

$$\begin{array}{l}\phantom{365)}001369\phantom{12}\\365\overline{)500000}\\\phantom{365)}\underline{\phantom{}365\phantom{999}}\\\phantom{365)}1350\\\phantom{365)}\underline{\phantom{}1095\phantom{99}}\\\phantom{365)9}2550\\\phantom{365)}\underline{\phantom{9}2190\phantom{9}}\\\phantom{365)99}3600\\\phantom{365)}\underline{\phantom{99}3285\phantom{}}\\\phantom{365)999}315\\\end{array}$$

Since 315 is less than 365, stop the division. The reminder is 315. The topmost line 001369 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1369.

$$\text{Quotient: }1369 \text{Reminder: }315$$

Factor

$$\frac{2 ^ {5} \cdot 5 ^ {5}}{73} = 1369\frac{63}{73} = 1369.86301369863$$