Solve 19747:31

$$19747 : 31$$

Evaluate

$$637$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 19747

$$\begin{array}{l}\phantom{31)}\phantom{1}\\31\overline{)19747}\\\end{array}$$

Since 1 is less than 31, use the next digit 9 from dividend 19747 and add 0 to the quotient

$$\begin{array}{l}\phantom{31)}0\phantom{2}\\31\overline{)19747}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 19747

$$\begin{array}{l}\phantom{31)}0\phantom{3}\\31\overline{)19747}\\\end{array}$$

Since 19 is less than 31, use the next digit 7 from dividend 19747 and add 0 to the quotient

$$\begin{array}{l}\phantom{31)}00\phantom{4}\\31\overline{)19747}\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 19747

$$\begin{array}{l}\phantom{31)}00\phantom{5}\\31\overline{)19747}\\\end{array}$$

Find closest multiple of 31 to 197. We see that 6 \times 31 = 186 is the nearest. Now subtract 186 from 197 to get reminder 11. Add 6 to quotient.

$$\begin{array}{l}\phantom{31)}006\phantom{6}\\31\overline{)19747}\\\phantom{31)}\underline{\phantom{}186\phantom{99}}\\\phantom{31)9}11\\\end{array}$$

Use the 4^{th} digit 4 from dividend 19747

$$\begin{array}{l}\phantom{31)}006\phantom{7}\\31\overline{)19747}\\\phantom{31)}\underline{\phantom{}186\phantom{99}}\\\phantom{31)9}114\\\end{array}$$

Find closest multiple of 31 to 114. We see that 3 \times 31 = 93 is the nearest. Now subtract 93 from 114 to get reminder 21. Add 3 to quotient.

$$\begin{array}{l}\phantom{31)}0063\phantom{8}\\31\overline{)19747}\\\phantom{31)}\underline{\phantom{}186\phantom{99}}\\\phantom{31)9}114\\\phantom{31)}\underline{\phantom{99}93\phantom{9}}\\\phantom{31)99}21\\\end{array}$$

Use the 5^{th} digit 7 from dividend 19747

$$\begin{array}{l}\phantom{31)}0063\phantom{9}\\31\overline{)19747}\\\phantom{31)}\underline{\phantom{}186\phantom{99}}\\\phantom{31)9}114\\\phantom{31)}\underline{\phantom{99}93\phantom{9}}\\\phantom{31)99}217\\\end{array}$$

Find closest multiple of 31 to 217. We see that 7 \times 31 = 217 is the nearest. Now subtract 217 from 217 to get reminder 0. Add 7 to quotient.

$$\begin{array}{l}\phantom{31)}00637\phantom{10}\\31\overline{)19747}\\\phantom{31)}\underline{\phantom{}186\phantom{99}}\\\phantom{31)9}114\\\phantom{31)}\underline{\phantom{99}93\phantom{9}}\\\phantom{31)99}217\\\phantom{31)}\underline{\phantom{99}217\phantom{}}\\\phantom{31)99999}0\\\end{array}$$

Since 0 is less than 31, stop the division. The reminder is 0. The topmost line 00637 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 637.

$$\text{Quotient: }637 \text{Reminder: }0$$

Factor

$$7^{2}\times 13$$