Solve 4,319/21

$$\frac { 4,319 } { 21 }$$

Evaluate

$$\frac{617}{3}\approx 205.666666667$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 4319

$$\begin{array}{l}\phantom{21)}\phantom{1}\\21\overline{)4319}\\\end{array}$$

Since 4 is less than 21, use the next digit 3 from dividend 4319 and add 0 to the quotient

$$\begin{array}{l}\phantom{21)}0\phantom{2}\\21\overline{)4319}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 4319

$$\begin{array}{l}\phantom{21)}0\phantom{3}\\21\overline{)4319}\\\end{array}$$

Find closest multiple of 21 to 43. We see that 2 \times 21 = 42 is the nearest. Now subtract 42 from 43 to get reminder 1. Add 2 to quotient.

$$\begin{array}{l}\phantom{21)}02\phantom{4}\\21\overline{)4319}\\\phantom{21)}\underline{\phantom{}42\phantom{99}}\\\phantom{21)9}1\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 4319

$$\begin{array}{l}\phantom{21)}02\phantom{5}\\21\overline{)4319}\\\phantom{21)}\underline{\phantom{}42\phantom{99}}\\\phantom{21)9}11\\\end{array}$$

Since 11 is less than 21, use the next digit 9 from dividend 4319 and add 0 to the quotient

$$\begin{array}{l}\phantom{21)}020\phantom{6}\\21\overline{)4319}\\\phantom{21)}\underline{\phantom{}42\phantom{99}}\\\phantom{21)9}11\\\end{array}$$

Use the 4^{th} digit 9 from dividend 4319

$$\begin{array}{l}\phantom{21)}020\phantom{7}\\21\overline{)4319}\\\phantom{21)}\underline{\phantom{}42\phantom{99}}\\\phantom{21)9}119\\\end{array}$$

Find closest multiple of 21 to 119. We see that 5 \times 21 = 105 is the nearest. Now subtract 105 from 119 to get reminder 14. Add 5 to quotient.

$$\begin{array}{l}\phantom{21)}0205\phantom{8}\\21\overline{)4319}\\\phantom{21)}\underline{\phantom{}42\phantom{99}}\\\phantom{21)9}119\\\phantom{21)}\underline{\phantom{9}105\phantom{}}\\\phantom{21)99}14\\\end{array}$$

Since 14 is less than 21, stop the division. The reminder is 14. The topmost line 0205 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 205.

$$\text{Quotient: }205 \text{Reminder: }14$$

Factor

$$\frac{617}{3} = 205\frac{2}{3} = 205.66666666666666$$