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\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)5110}\\\end{array}
Use the 1^{st} digit 5 from dividend 5110
\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)5110}\\\end{array}
Since 5 is less than 12, use the next digit 1 from dividend 5110 and add 0 to the quotient
\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)5110}\\\end{array}
Use the 2^{nd} digit 1 from dividend 5110
\begin{array}{l}\phantom{12)}04\phantom{4}\\12\overline{)5110}\\\phantom{12)}\underline{\phantom{}48\phantom{99}}\\\phantom{12)9}3\\\end{array}
Find closest multiple of 12 to 51. We see that 4 \times 12 = 48 is the nearest. Now subtract 48 from 51 to get reminder 3. Add 4 to quotient.
\begin{array}{l}\phantom{12)}04\phantom{5}\\12\overline{)5110}\\\phantom{12)}\underline{\phantom{}48\phantom{99}}\\\phantom{12)9}31\\\end{array}
Use the 3^{rd} digit 1 from dividend 5110
\begin{array}{l}\phantom{12)}042\phantom{6}\\12\overline{)5110}\\\phantom{12)}\underline{\phantom{}48\phantom{99}}\\\phantom{12)9}31\\\phantom{12)}\underline{\phantom{9}24\phantom{9}}\\\phantom{12)99}7\\\end{array}
Find closest multiple of 12 to 31. We see that 2 \times 12 = 24 is the nearest. Now subtract 24 from 31 to get reminder 7. Add 2 to quotient.
\begin{array}{l}\phantom{12)}042\phantom{7}\\12\overline{)5110}\\\phantom{12)}\underline{\phantom{}48\phantom{99}}\\\phantom{12)9}31\\\phantom{12)}\underline{\phantom{9}24\phantom{9}}\\\phantom{12)99}70\\\end{array}
Use the 4^{th} digit 0 from dividend 5110
\begin{array}{l}\phantom{12)}0425\phantom{8}\\12\overline{)5110}\\\phantom{12)}\underline{\phantom{}48\phantom{99}}\\\phantom{12)9}31\\\phantom{12)}\underline{\phantom{9}24\phantom{9}}\\\phantom{12)99}70\\\phantom{12)}\underline{\phantom{99}60\phantom{}}\\\phantom{12)99}10\\\end{array}
Find closest multiple of 12 to 70. We see that 5 \times 12 = 60 is the nearest. Now subtract 60 from 70 to get reminder 10. Add 5 to quotient.
\text{Quotient: }425 \text{Reminder: }10
Since 10 is less than 12, stop the division. The reminder is 10. The topmost line 0425 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 425.