Solve 215476div412

$$215476 \div 412$$

Evaluate

$$523$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 215476

$$\begin{array}{l}\phantom{412)}\phantom{1}\\412\overline{)215476}\\\end{array}$$

Since 2 is less than 412, use the next digit 1 from dividend 215476 and add 0 to the quotient

$$\begin{array}{l}\phantom{412)}0\phantom{2}\\412\overline{)215476}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 215476

$$\begin{array}{l}\phantom{412)}0\phantom{3}\\412\overline{)215476}\\\end{array}$$

Since 21 is less than 412, use the next digit 5 from dividend 215476 and add 0 to the quotient

$$\begin{array}{l}\phantom{412)}00\phantom{4}\\412\overline{)215476}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 215476

$$\begin{array}{l}\phantom{412)}00\phantom{5}\\412\overline{)215476}\\\end{array}$$

Since 215 is less than 412, use the next digit 4 from dividend 215476 and add 0 to the quotient

$$\begin{array}{l}\phantom{412)}000\phantom{6}\\412\overline{)215476}\\\end{array}$$

Use the 4^{th} digit 4 from dividend 215476

$$\begin{array}{l}\phantom{412)}000\phantom{7}\\412\overline{)215476}\\\end{array}$$

Find closest multiple of 412 to 2154. We see that 5 \times 412 = 2060 is the nearest. Now subtract 2060 from 2154 to get reminder 94. Add 5 to quotient.

$$\begin{array}{l}\phantom{412)}0005\phantom{8}\\412\overline{)215476}\\\phantom{412)}\underline{\phantom{}2060\phantom{99}}\\\phantom{412)99}94\\\end{array}$$

Use the 5^{th} digit 7 from dividend 215476

$$\begin{array}{l}\phantom{412)}0005\phantom{9}\\412\overline{)215476}\\\phantom{412)}\underline{\phantom{}2060\phantom{99}}\\\phantom{412)99}947\\\end{array}$$

Find closest multiple of 412 to 947. We see that 2 \times 412 = 824 is the nearest. Now subtract 824 from 947 to get reminder 123. Add 2 to quotient.

$$\begin{array}{l}\phantom{412)}00052\phantom{10}\\412\overline{)215476}\\\phantom{412)}\underline{\phantom{}2060\phantom{99}}\\\phantom{412)99}947\\\phantom{412)}\underline{\phantom{99}824\phantom{9}}\\\phantom{412)99}123\\\end{array}$$

Use the 6^{th} digit 6 from dividend 215476

$$\begin{array}{l}\phantom{412)}00052\phantom{11}\\412\overline{)215476}\\\phantom{412)}\underline{\phantom{}2060\phantom{99}}\\\phantom{412)99}947\\\phantom{412)}\underline{\phantom{99}824\phantom{9}}\\\phantom{412)99}1236\\\end{array}$$

Find closest multiple of 412 to 1236. We see that 3 \times 412 = 1236 is the nearest. Now subtract 1236 from 1236 to get reminder 0. Add 3 to quotient.

$$\begin{array}{l}\phantom{412)}000523\phantom{12}\\412\overline{)215476}\\\phantom{412)}\underline{\phantom{}2060\phantom{99}}\\\phantom{412)99}947\\\phantom{412)}\underline{\phantom{99}824\phantom{9}}\\\phantom{412)99}1236\\\phantom{412)}\underline{\phantom{99}1236\phantom{}}\\\phantom{412)999999}0\\\end{array}$$

Since 0 is less than 412, stop the division. The reminder is 0. The topmost line 000523 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 523.

$$\text{Quotient: }523 \text{Reminder: }0$$

Factor

$$523$$