Solve 696969div365

$$696969 \div 365$$

Evaluate

$$\frac{696969}{365}\approx 1909.504109589$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 696969

$$\begin{array}{l}\phantom{365)}\phantom{1}\\365\overline{)696969}\\\end{array}$$

Since 6 is less than 365, use the next digit 9 from dividend 696969 and add 0 to the quotient

$$\begin{array}{l}\phantom{365)}0\phantom{2}\\365\overline{)696969}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 696969

$$\begin{array}{l}\phantom{365)}0\phantom{3}\\365\overline{)696969}\\\end{array}$$

Since 69 is less than 365, use the next digit 6 from dividend 696969 and add 0 to the quotient

$$\begin{array}{l}\phantom{365)}00\phantom{4}\\365\overline{)696969}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 696969

$$\begin{array}{l}\phantom{365)}00\phantom{5}\\365\overline{)696969}\\\end{array}$$

Find closest multiple of 365 to 696. We see that 1 \times 365 = 365 is the nearest. Now subtract 365 from 696 to get reminder 331. Add 1 to quotient.

$$\begin{array}{l}\phantom{365)}001\phantom{6}\\365\overline{)696969}\\\phantom{365)}\underline{\phantom{}365\phantom{999}}\\\phantom{365)}331\\\end{array}$$

Use the 4^{th} digit 9 from dividend 696969

$$\begin{array}{l}\phantom{365)}001\phantom{7}\\365\overline{)696969}\\\phantom{365)}\underline{\phantom{}365\phantom{999}}\\\phantom{365)}3319\\\end{array}$$

Find closest multiple of 365 to 3319. We see that 9 \times 365 = 3285 is the nearest. Now subtract 3285 from 3319 to get reminder 34. Add 9 to quotient.

$$\begin{array}{l}\phantom{365)}0019\phantom{8}\\365\overline{)696969}\\\phantom{365)}\underline{\phantom{}365\phantom{999}}\\\phantom{365)}3319\\\phantom{365)}\underline{\phantom{}3285\phantom{99}}\\\phantom{365)99}34\\\end{array}$$

Use the 5^{th} digit 6 from dividend 696969

$$\begin{array}{l}\phantom{365)}0019\phantom{9}\\365\overline{)696969}\\\phantom{365)}\underline{\phantom{}365\phantom{999}}\\\phantom{365)}3319\\\phantom{365)}\underline{\phantom{}3285\phantom{99}}\\\phantom{365)99}346\\\end{array}$$

Since 346 is less than 365, use the next digit 9 from dividend 696969 and add 0 to the quotient

$$\begin{array}{l}\phantom{365)}00190\phantom{10}\\365\overline{)696969}\\\phantom{365)}\underline{\phantom{}365\phantom{999}}\\\phantom{365)}3319\\\phantom{365)}\underline{\phantom{}3285\phantom{99}}\\\phantom{365)99}346\\\end{array}$$

Use the 6^{th} digit 9 from dividend 696969

$$\begin{array}{l}\phantom{365)}00190\phantom{11}\\365\overline{)696969}\\\phantom{365)}\underline{\phantom{}365\phantom{999}}\\\phantom{365)}3319\\\phantom{365)}\underline{\phantom{}3285\phantom{99}}\\\phantom{365)99}3469\\\end{array}$$

Find closest multiple of 365 to 3469. We see that 9 \times 365 = 3285 is the nearest. Now subtract 3285 from 3469 to get reminder 184. Add 9 to quotient.

$$\begin{array}{l}\phantom{365)}001909\phantom{12}\\365\overline{)696969}\\\phantom{365)}\underline{\phantom{}365\phantom{999}}\\\phantom{365)}3319\\\phantom{365)}\underline{\phantom{}3285\phantom{99}}\\\phantom{365)99}3469\\\phantom{365)}\underline{\phantom{99}3285\phantom{}}\\\phantom{365)999}184\\\end{array}$$

Since 184 is less than 365, stop the division. The reminder is 184. The topmost line 001909 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1909.

$$\text{Quotient: }1909 \text{Reminder: }184$$

Factor

$$\frac{3 ^ {2} \cdot 7 \cdot 13 \cdot 23 \cdot 37}{5 \cdot 73} = 1909\frac{184}{365} = 1909.504109589041$$