Solve 1724:10

$$1724 : 10$$

Evaluate

$$\frac{862}{5}=172.4$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1724

$$\begin{array}{l}\phantom{10)}\phantom{1}\\10\overline{)1724}\\\end{array}$$

Since 1 is less than 10, use the next digit 7 from dividend 1724 and add 0 to the quotient

$$\begin{array}{l}\phantom{10)}0\phantom{2}\\10\overline{)1724}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 1724

$$\begin{array}{l}\phantom{10)}0\phantom{3}\\10\overline{)1724}\\\end{array}$$

Find closest multiple of 10 to 17. We see that 1 \times 10 = 10 is the nearest. Now subtract 10 from 17 to get reminder 7. Add 1 to quotient.

$$\begin{array}{l}\phantom{10)}01\phantom{4}\\10\overline{)1724}\\\phantom{10)}\underline{\phantom{}10\phantom{99}}\\\phantom{10)9}7\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 1724

$$\begin{array}{l}\phantom{10)}01\phantom{5}\\10\overline{)1724}\\\phantom{10)}\underline{\phantom{}10\phantom{99}}\\\phantom{10)9}72\\\end{array}$$

Find closest multiple of 10 to 72. We see that 7 \times 10 = 70 is the nearest. Now subtract 70 from 72 to get reminder 2. Add 7 to quotient.

$$\begin{array}{l}\phantom{10)}017\phantom{6}\\10\overline{)1724}\\\phantom{10)}\underline{\phantom{}10\phantom{99}}\\\phantom{10)9}72\\\phantom{10)}\underline{\phantom{9}70\phantom{9}}\\\phantom{10)99}2\\\end{array}$$

Use the 4^{th} digit 4 from dividend 1724

$$\begin{array}{l}\phantom{10)}017\phantom{7}\\10\overline{)1724}\\\phantom{10)}\underline{\phantom{}10\phantom{99}}\\\phantom{10)9}72\\\phantom{10)}\underline{\phantom{9}70\phantom{9}}\\\phantom{10)99}24\\\end{array}$$

Find closest multiple of 10 to 24. We see that 2 \times 10 = 20 is the nearest. Now subtract 20 from 24 to get reminder 4. Add 2 to quotient.

$$\begin{array}{l}\phantom{10)}0172\phantom{8}\\10\overline{)1724}\\\phantom{10)}\underline{\phantom{}10\phantom{99}}\\\phantom{10)9}72\\\phantom{10)}\underline{\phantom{9}70\phantom{9}}\\\phantom{10)99}24\\\phantom{10)}\underline{\phantom{99}20\phantom{}}\\\phantom{10)999}4\\\end{array}$$

Since 4 is less than 10, stop the division. The reminder is 4. The topmost line 0172 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 172.

$$\text{Quotient: }172 \text{Reminder: }4$$

Factor

$$\frac{2 \cdot 431}{5} = 172\frac{2}{5} = 172.4$$