Solve 1397984div553

$$1397984 \div 553$$

Evaluate

$$2528$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1397984

$$\begin{array}{l}\phantom{553)}\phantom{1}\\553\overline{)1397984}\\\end{array}$$

Since 1 is less than 553, use the next digit 3 from dividend 1397984 and add 0 to the quotient

$$\begin{array}{l}\phantom{553)}0\phantom{2}\\553\overline{)1397984}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 1397984

$$\begin{array}{l}\phantom{553)}0\phantom{3}\\553\overline{)1397984}\\\end{array}$$

Since 13 is less than 553, use the next digit 9 from dividend 1397984 and add 0 to the quotient

$$\begin{array}{l}\phantom{553)}00\phantom{4}\\553\overline{)1397984}\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 1397984

$$\begin{array}{l}\phantom{553)}00\phantom{5}\\553\overline{)1397984}\\\end{array}$$

Since 139 is less than 553, use the next digit 7 from dividend 1397984 and add 0 to the quotient

$$\begin{array}{l}\phantom{553)}000\phantom{6}\\553\overline{)1397984}\\\end{array}$$

Use the 4^{th} digit 7 from dividend 1397984

$$\begin{array}{l}\phantom{553)}000\phantom{7}\\553\overline{)1397984}\\\end{array}$$

Find closest multiple of 553 to 1397. We see that 2 \times 553 = 1106 is the nearest. Now subtract 1106 from 1397 to get reminder 291. Add 2 to quotient.

$$\begin{array}{l}\phantom{553)}0002\phantom{8}\\553\overline{)1397984}\\\phantom{553)}\underline{\phantom{}1106\phantom{999}}\\\phantom{553)9}291\\\end{array}$$

Use the 5^{th} digit 9 from dividend 1397984

$$\begin{array}{l}\phantom{553)}0002\phantom{9}\\553\overline{)1397984}\\\phantom{553)}\underline{\phantom{}1106\phantom{999}}\\\phantom{553)9}2919\\\end{array}$$

Find closest multiple of 553 to 2919. We see that 5 \times 553 = 2765 is the nearest. Now subtract 2765 from 2919 to get reminder 154. Add 5 to quotient.

$$\begin{array}{l}\phantom{553)}00025\phantom{10}\\553\overline{)1397984}\\\phantom{553)}\underline{\phantom{}1106\phantom{999}}\\\phantom{553)9}2919\\\phantom{553)}\underline{\phantom{9}2765\phantom{99}}\\\phantom{553)99}154\\\end{array}$$

Use the 6^{th} digit 8 from dividend 1397984

$$\begin{array}{l}\phantom{553)}00025\phantom{11}\\553\overline{)1397984}\\\phantom{553)}\underline{\phantom{}1106\phantom{999}}\\\phantom{553)9}2919\\\phantom{553)}\underline{\phantom{9}2765\phantom{99}}\\\phantom{553)99}1548\\\end{array}$$

Find closest multiple of 553 to 1548. We see that 2 \times 553 = 1106 is the nearest. Now subtract 1106 from 1548 to get reminder 442. Add 2 to quotient.

$$\begin{array}{l}\phantom{553)}000252\phantom{12}\\553\overline{)1397984}\\\phantom{553)}\underline{\phantom{}1106\phantom{999}}\\\phantom{553)9}2919\\\phantom{553)}\underline{\phantom{9}2765\phantom{99}}\\\phantom{553)99}1548\\\phantom{553)}\underline{\phantom{99}1106\phantom{9}}\\\phantom{553)999}442\\\end{array}$$

Use the 7^{th} digit 4 from dividend 1397984

$$\begin{array}{l}\phantom{553)}000252\phantom{13}\\553\overline{)1397984}\\\phantom{553)}\underline{\phantom{}1106\phantom{999}}\\\phantom{553)9}2919\\\phantom{553)}\underline{\phantom{9}2765\phantom{99}}\\\phantom{553)99}1548\\\phantom{553)}\underline{\phantom{99}1106\phantom{9}}\\\phantom{553)999}4424\\\end{array}$$

Find closest multiple of 553 to 4424. We see that 8 \times 553 = 4424 is the nearest. Now subtract 4424 from 4424 to get reminder 0. Add 8 to quotient.

$$\begin{array}{l}\phantom{553)}0002528\phantom{14}\\553\overline{)1397984}\\\phantom{553)}\underline{\phantom{}1106\phantom{999}}\\\phantom{553)9}2919\\\phantom{553)}\underline{\phantom{9}2765\phantom{99}}\\\phantom{553)99}1548\\\phantom{553)}\underline{\phantom{99}1106\phantom{9}}\\\phantom{553)999}4424\\\phantom{553)}\underline{\phantom{999}4424\phantom{}}\\\phantom{553)9999999}0\\\end{array}$$

Since 0 is less than 553, stop the division. The reminder is 0. The topmost line 0002528 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2528.

$$\text{Quotient: }2528 \text{Reminder: }0$$

Factor

$$2^{5}\times 79$$