Solve 3459/19

$$\frac{ 3459 }{ 19 }$$

Evaluate

$$\frac{3459}{19}\approx 182.052631579$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3459

$$\begin{array}{l}\phantom{19)}\phantom{1}\\19\overline{)3459}\\\end{array}$$

Since 3 is less than 19, use the next digit 4 from dividend 3459 and add 0 to the quotient

$$\begin{array}{l}\phantom{19)}0\phantom{2}\\19\overline{)3459}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 3459

$$\begin{array}{l}\phantom{19)}0\phantom{3}\\19\overline{)3459}\\\end{array}$$

Find closest multiple of 19 to 34. We see that 1 \times 19 = 19 is the nearest. Now subtract 19 from 34 to get reminder 15. Add 1 to quotient.

$$\begin{array}{l}\phantom{19)}01\phantom{4}\\19\overline{)3459}\\\phantom{19)}\underline{\phantom{}19\phantom{99}}\\\phantom{19)}15\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 3459

$$\begin{array}{l}\phantom{19)}01\phantom{5}\\19\overline{)3459}\\\phantom{19)}\underline{\phantom{}19\phantom{99}}\\\phantom{19)}155\\\end{array}$$

Find closest multiple of 19 to 155. We see that 8 \times 19 = 152 is the nearest. Now subtract 152 from 155 to get reminder 3. Add 8 to quotient.

$$\begin{array}{l}\phantom{19)}018\phantom{6}\\19\overline{)3459}\\\phantom{19)}\underline{\phantom{}19\phantom{99}}\\\phantom{19)}155\\\phantom{19)}\underline{\phantom{}152\phantom{9}}\\\phantom{19)99}3\\\end{array}$$

Use the 4^{th} digit 9 from dividend 3459

$$\begin{array}{l}\phantom{19)}018\phantom{7}\\19\overline{)3459}\\\phantom{19)}\underline{\phantom{}19\phantom{99}}\\\phantom{19)}155\\\phantom{19)}\underline{\phantom{}152\phantom{9}}\\\phantom{19)99}39\\\end{array}$$

Find closest multiple of 19 to 39. We see that 2 \times 19 = 38 is the nearest. Now subtract 38 from 39 to get reminder 1. Add 2 to quotient.

$$\begin{array}{l}\phantom{19)}0182\phantom{8}\\19\overline{)3459}\\\phantom{19)}\underline{\phantom{}19\phantom{99}}\\\phantom{19)}155\\\phantom{19)}\underline{\phantom{}152\phantom{9}}\\\phantom{19)99}39\\\phantom{19)}\underline{\phantom{99}38\phantom{}}\\\phantom{19)999}1\\\end{array}$$

Since 1 is less than 19, stop the division. The reminder is 1. The topmost line 0182 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 182.

$$\text{Quotient: }182 \text{Reminder: }1$$

Factor

$$\frac{3 \cdot 1153}{19} = 182\frac{1}{19} = 182.05263157894737$$