Solve 21,988/478

$$\frac { 21,988 } { 478 }$$

Evaluate

$$46$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 21988

$$\begin{array}{l}\phantom{478)}\phantom{1}\\478\overline{)21988}\\\end{array}$$

Since 2 is less than 478, use the next digit 1 from dividend 21988 and add 0 to the quotient

$$\begin{array}{l}\phantom{478)}0\phantom{2}\\478\overline{)21988}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 21988

$$\begin{array}{l}\phantom{478)}0\phantom{3}\\478\overline{)21988}\\\end{array}$$

Since 21 is less than 478, use the next digit 9 from dividend 21988 and add 0 to the quotient

$$\begin{array}{l}\phantom{478)}00\phantom{4}\\478\overline{)21988}\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 21988

$$\begin{array}{l}\phantom{478)}00\phantom{5}\\478\overline{)21988}\\\end{array}$$

Since 219 is less than 478, use the next digit 8 from dividend 21988 and add 0 to the quotient

$$\begin{array}{l}\phantom{478)}000\phantom{6}\\478\overline{)21988}\\\end{array}$$

Use the 4^{th} digit 8 from dividend 21988

$$\begin{array}{l}\phantom{478)}000\phantom{7}\\478\overline{)21988}\\\end{array}$$

Find closest multiple of 478 to 2198. We see that 4 \times 478 = 1912 is the nearest. Now subtract 1912 from 2198 to get reminder 286. Add 4 to quotient.

$$\begin{array}{l}\phantom{478)}0004\phantom{8}\\478\overline{)21988}\\\phantom{478)}\underline{\phantom{}1912\phantom{9}}\\\phantom{478)9}286\\\end{array}$$

Use the 5^{th} digit 8 from dividend 21988

$$\begin{array}{l}\phantom{478)}0004\phantom{9}\\478\overline{)21988}\\\phantom{478)}\underline{\phantom{}1912\phantom{9}}\\\phantom{478)9}2868\\\end{array}$$

Find closest multiple of 478 to 2868. We see that 6 \times 478 = 2868 is the nearest. Now subtract 2868 from 2868 to get reminder 0. Add 6 to quotient.

$$\begin{array}{l}\phantom{478)}00046\phantom{10}\\478\overline{)21988}\\\phantom{478)}\underline{\phantom{}1912\phantom{9}}\\\phantom{478)9}2868\\\phantom{478)}\underline{\phantom{9}2868\phantom{}}\\\phantom{478)99999}0\\\end{array}$$

Since 0 is less than 478, stop the division. The reminder is 0. The topmost line 00046 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 46.

$$\text{Quotient: }46 \text{Reminder: }0$$

Factor

$$2\times 23$$