Solve 15652div559

$$15652 \div 559$$

Evaluate

$$28$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 15652

$$\begin{array}{l}\phantom{559)}\phantom{1}\\559\overline{)15652}\\\end{array}$$

Since 1 is less than 559, use the next digit 5 from dividend 15652 and add 0 to the quotient

$$\begin{array}{l}\phantom{559)}0\phantom{2}\\559\overline{)15652}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 15652

$$\begin{array}{l}\phantom{559)}0\phantom{3}\\559\overline{)15652}\\\end{array}$$

Since 15 is less than 559, use the next digit 6 from dividend 15652 and add 0 to the quotient

$$\begin{array}{l}\phantom{559)}00\phantom{4}\\559\overline{)15652}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 15652

$$\begin{array}{l}\phantom{559)}00\phantom{5}\\559\overline{)15652}\\\end{array}$$

Since 156 is less than 559, use the next digit 5 from dividend 15652 and add 0 to the quotient

$$\begin{array}{l}\phantom{559)}000\phantom{6}\\559\overline{)15652}\\\end{array}$$

Use the 4^{th} digit 5 from dividend 15652

$$\begin{array}{l}\phantom{559)}000\phantom{7}\\559\overline{)15652}\\\end{array}$$

Find closest multiple of 559 to 1565. We see that 2 \times 559 = 1118 is the nearest. Now subtract 1118 from 1565 to get reminder 447. Add 2 to quotient.

$$\begin{array}{l}\phantom{559)}0002\phantom{8}\\559\overline{)15652}\\\phantom{559)}\underline{\phantom{}1118\phantom{9}}\\\phantom{559)9}447\\\end{array}$$

Use the 5^{th} digit 2 from dividend 15652

$$\begin{array}{l}\phantom{559)}0002\phantom{9}\\559\overline{)15652}\\\phantom{559)}\underline{\phantom{}1118\phantom{9}}\\\phantom{559)9}4472\\\end{array}$$

Find closest multiple of 559 to 4472. We see that 8 \times 559 = 4472 is the nearest. Now subtract 4472 from 4472 to get reminder 0. Add 8 to quotient.

$$\begin{array}{l}\phantom{559)}00028\phantom{10}\\559\overline{)15652}\\\phantom{559)}\underline{\phantom{}1118\phantom{9}}\\\phantom{559)9}4472\\\phantom{559)}\underline{\phantom{9}4472\phantom{}}\\\phantom{559)99999}0\\\end{array}$$

Since 0 is less than 559, stop the division. The reminder is 0. The topmost line 00028 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 28.

$$\text{Quotient: }28 \text{Reminder: }0$$

Factor

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