Solve 31410div45

$$31410 \div 45$$

Evaluate

$$698$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 31410

$$\begin{array}{l}\phantom{45)}\phantom{1}\\45\overline{)31410}\\\end{array}$$

Since 3 is less than 45, use the next digit 1 from dividend 31410 and add 0 to the quotient

$$\begin{array}{l}\phantom{45)}0\phantom{2}\\45\overline{)31410}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 31410

$$\begin{array}{l}\phantom{45)}0\phantom{3}\\45\overline{)31410}\\\end{array}$$

Since 31 is less than 45, use the next digit 4 from dividend 31410 and add 0 to the quotient

$$\begin{array}{l}\phantom{45)}00\phantom{4}\\45\overline{)31410}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 31410

$$\begin{array}{l}\phantom{45)}00\phantom{5}\\45\overline{)31410}\\\end{array}$$

Find closest multiple of 45 to 314. We see that 6 \times 45 = 270 is the nearest. Now subtract 270 from 314 to get reminder 44. Add 6 to quotient.

$$\begin{array}{l}\phantom{45)}006\phantom{6}\\45\overline{)31410}\\\phantom{45)}\underline{\phantom{}270\phantom{99}}\\\phantom{45)9}44\\\end{array}$$

Use the 4^{th} digit 1 from dividend 31410

$$\begin{array}{l}\phantom{45)}006\phantom{7}\\45\overline{)31410}\\\phantom{45)}\underline{\phantom{}270\phantom{99}}\\\phantom{45)9}441\\\end{array}$$

Find closest multiple of 45 to 441. We see that 9 \times 45 = 405 is the nearest. Now subtract 405 from 441 to get reminder 36. Add 9 to quotient.

$$\begin{array}{l}\phantom{45)}0069\phantom{8}\\45\overline{)31410}\\\phantom{45)}\underline{\phantom{}270\phantom{99}}\\\phantom{45)9}441\\\phantom{45)}\underline{\phantom{9}405\phantom{9}}\\\phantom{45)99}36\\\end{array}$$

Use the 5^{th} digit 0 from dividend 31410

$$\begin{array}{l}\phantom{45)}0069\phantom{9}\\45\overline{)31410}\\\phantom{45)}\underline{\phantom{}270\phantom{99}}\\\phantom{45)9}441\\\phantom{45)}\underline{\phantom{9}405\phantom{9}}\\\phantom{45)99}360\\\end{array}$$

Find closest multiple of 45 to 360. We see that 8 \times 45 = 360 is the nearest. Now subtract 360 from 360 to get reminder 0. Add 8 to quotient.

$$\begin{array}{l}\phantom{45)}00698\phantom{10}\\45\overline{)31410}\\\phantom{45)}\underline{\phantom{}270\phantom{99}}\\\phantom{45)9}441\\\phantom{45)}\underline{\phantom{9}405\phantom{9}}\\\phantom{45)99}360\\\phantom{45)}\underline{\phantom{99}360\phantom{}}\\\phantom{45)99999}0\\\end{array}$$

Since 0 is less than 45, stop the division. The reminder is 0. The topmost line 00698 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 698.

$$\text{Quotient: }698 \text{Reminder: }0$$

Factor

$$2\times 349$$