Solve 3624/23

$$\frac { 3624 } { 23 }$$

Evaluate

$$\frac{3624}{23}\approx 157.565217391$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3624

$$\begin{array}{l}\phantom{23)}\phantom{1}\\23\overline{)3624}\\\end{array}$$

Since 3 is less than 23, use the next digit 6 from dividend 3624 and add 0 to the quotient

$$\begin{array}{l}\phantom{23)}0\phantom{2}\\23\overline{)3624}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 3624

$$\begin{array}{l}\phantom{23)}0\phantom{3}\\23\overline{)3624}\\\end{array}$$

Find closest multiple of 23 to 36. We see that 1 \times 23 = 23 is the nearest. Now subtract 23 from 36 to get reminder 13. Add 1 to quotient.

$$\begin{array}{l}\phantom{23)}01\phantom{4}\\23\overline{)3624}\\\phantom{23)}\underline{\phantom{}23\phantom{99}}\\\phantom{23)}13\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 3624

$$\begin{array}{l}\phantom{23)}01\phantom{5}\\23\overline{)3624}\\\phantom{23)}\underline{\phantom{}23\phantom{99}}\\\phantom{23)}132\\\end{array}$$

Find closest multiple of 23 to 132. We see that 5 \times 23 = 115 is the nearest. Now subtract 115 from 132 to get reminder 17. Add 5 to quotient.

$$\begin{array}{l}\phantom{23)}015\phantom{6}\\23\overline{)3624}\\\phantom{23)}\underline{\phantom{}23\phantom{99}}\\\phantom{23)}132\\\phantom{23)}\underline{\phantom{}115\phantom{9}}\\\phantom{23)9}17\\\end{array}$$

Use the 4^{th} digit 4 from dividend 3624

$$\begin{array}{l}\phantom{23)}015\phantom{7}\\23\overline{)3624}\\\phantom{23)}\underline{\phantom{}23\phantom{99}}\\\phantom{23)}132\\\phantom{23)}\underline{\phantom{}115\phantom{9}}\\\phantom{23)9}174\\\end{array}$$

Find closest multiple of 23 to 174. We see that 7 \times 23 = 161 is the nearest. Now subtract 161 from 174 to get reminder 13. Add 7 to quotient.

$$\begin{array}{l}\phantom{23)}0157\phantom{8}\\23\overline{)3624}\\\phantom{23)}\underline{\phantom{}23\phantom{99}}\\\phantom{23)}132\\\phantom{23)}\underline{\phantom{}115\phantom{9}}\\\phantom{23)9}174\\\phantom{23)}\underline{\phantom{9}161\phantom{}}\\\phantom{23)99}13\\\end{array}$$

Since 13 is less than 23, stop the division. The reminder is 13. The topmost line 0157 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 157.

$$\text{Quotient: }157 \text{Reminder: }13$$

Factor

$$\frac{2 ^ {3} \cdot 3 \cdot 151}{23} = 157\frac{13}{23} = 157.56521739130434$$