Solve 1829div10

$$1829 \div 10$$

Evaluate

$$\frac{1829}{10}=182.9$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1829

$$\begin{array}{l}\phantom{10)}\phantom{1}\\10\overline{)1829}\\\end{array}$$

Since 1 is less than 10, use the next digit 8 from dividend 1829 and add 0 to the quotient

$$\begin{array}{l}\phantom{10)}0\phantom{2}\\10\overline{)1829}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 1829

$$\begin{array}{l}\phantom{10)}0\phantom{3}\\10\overline{)1829}\\\end{array}$$

Find closest multiple of 10 to 18. We see that 1 \times 10 = 10 is the nearest. Now subtract 10 from 18 to get reminder 8. Add 1 to quotient.

$$\begin{array}{l}\phantom{10)}01\phantom{4}\\10\overline{)1829}\\\phantom{10)}\underline{\phantom{}10\phantom{99}}\\\phantom{10)9}8\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 1829

$$\begin{array}{l}\phantom{10)}01\phantom{5}\\10\overline{)1829}\\\phantom{10)}\underline{\phantom{}10\phantom{99}}\\\phantom{10)9}82\\\end{array}$$

Find closest multiple of 10 to 82. We see that 8 \times 10 = 80 is the nearest. Now subtract 80 from 82 to get reminder 2. Add 8 to quotient.

$$\begin{array}{l}\phantom{10)}018\phantom{6}\\10\overline{)1829}\\\phantom{10)}\underline{\phantom{}10\phantom{99}}\\\phantom{10)9}82\\\phantom{10)}\underline{\phantom{9}80\phantom{9}}\\\phantom{10)99}2\\\end{array}$$

Use the 4^{th} digit 9 from dividend 1829

$$\begin{array}{l}\phantom{10)}018\phantom{7}\\10\overline{)1829}\\\phantom{10)}\underline{\phantom{}10\phantom{99}}\\\phantom{10)9}82\\\phantom{10)}\underline{\phantom{9}80\phantom{9}}\\\phantom{10)99}29\\\end{array}$$

Find closest multiple of 10 to 29. We see that 2 \times 10 = 20 is the nearest. Now subtract 20 from 29 to get reminder 9. Add 2 to quotient.

$$\begin{array}{l}\phantom{10)}0182\phantom{8}\\10\overline{)1829}\\\phantom{10)}\underline{\phantom{}10\phantom{99}}\\\phantom{10)9}82\\\phantom{10)}\underline{\phantom{9}80\phantom{9}}\\\phantom{10)99}29\\\phantom{10)}\underline{\phantom{99}20\phantom{}}\\\phantom{10)999}9\\\end{array}$$

Since 9 is less than 10, stop the division. The reminder is 9. The topmost line 0182 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 182.

$$\text{Quotient: }182 \text{Reminder: }9$$

Factor

$$\frac{31 \cdot 59}{2 \cdot 5} = 182\frac{9}{10} = 182.9$$