Solve 23654div46

$$23654 \div 46$$

Evaluate

$$\frac{11827}{23}\approx 514.217391304$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 23654

$$\begin{array}{l}\phantom{46)}\phantom{1}\\46\overline{)23654}\\\end{array}$$

Since 2 is less than 46, use the next digit 3 from dividend 23654 and add 0 to the quotient

$$\begin{array}{l}\phantom{46)}0\phantom{2}\\46\overline{)23654}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 23654

$$\begin{array}{l}\phantom{46)}0\phantom{3}\\46\overline{)23654}\\\end{array}$$

Since 23 is less than 46, use the next digit 6 from dividend 23654 and add 0 to the quotient

$$\begin{array}{l}\phantom{46)}00\phantom{4}\\46\overline{)23654}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 23654

$$\begin{array}{l}\phantom{46)}00\phantom{5}\\46\overline{)23654}\\\end{array}$$

Find closest multiple of 46 to 236. We see that 5 \times 46 = 230 is the nearest. Now subtract 230 from 236 to get reminder 6. Add 5 to quotient.

$$\begin{array}{l}\phantom{46)}005\phantom{6}\\46\overline{)23654}\\\phantom{46)}\underline{\phantom{}230\phantom{99}}\\\phantom{46)99}6\\\end{array}$$

Use the 4^{th} digit 5 from dividend 23654

$$\begin{array}{l}\phantom{46)}005\phantom{7}\\46\overline{)23654}\\\phantom{46)}\underline{\phantom{}230\phantom{99}}\\\phantom{46)99}65\\\end{array}$$

Find closest multiple of 46 to 65. We see that 1 \times 46 = 46 is the nearest. Now subtract 46 from 65 to get reminder 19. Add 1 to quotient.

$$\begin{array}{l}\phantom{46)}0051\phantom{8}\\46\overline{)23654}\\\phantom{46)}\underline{\phantom{}230\phantom{99}}\\\phantom{46)99}65\\\phantom{46)}\underline{\phantom{99}46\phantom{9}}\\\phantom{46)99}19\\\end{array}$$

Use the 5^{th} digit 4 from dividend 23654

$$\begin{array}{l}\phantom{46)}0051\phantom{9}\\46\overline{)23654}\\\phantom{46)}\underline{\phantom{}230\phantom{99}}\\\phantom{46)99}65\\\phantom{46)}\underline{\phantom{99}46\phantom{9}}\\\phantom{46)99}194\\\end{array}$$

Find closest multiple of 46 to 194. We see that 4 \times 46 = 184 is the nearest. Now subtract 184 from 194 to get reminder 10. Add 4 to quotient.

$$\begin{array}{l}\phantom{46)}00514\phantom{10}\\46\overline{)23654}\\\phantom{46)}\underline{\phantom{}230\phantom{99}}\\\phantom{46)99}65\\\phantom{46)}\underline{\phantom{99}46\phantom{9}}\\\phantom{46)99}194\\\phantom{46)}\underline{\phantom{99}184\phantom{}}\\\phantom{46)999}10\\\end{array}$$

Since 10 is less than 46, stop the division. The reminder is 10. The topmost line 00514 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 514.

$$\text{Quotient: }514 \text{Reminder: }10$$

Factor

$$\frac{11827}{23} = 514\frac{5}{23} = 514.2173913043479$$