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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 644 · 40 sums
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The trick (Nikhilam Navatashcaramam Dashatah): Write the complement of the divisor (8 → 2, 97 → 03, 88 → 12, 997 → 003, 897 → 103). Split off as many last digits as the base has zeros (1 for 8, 2 for 88, 3 for 997) — that is the remainder part. Bring down each column total, multiply it by the complement, and add the result under the next column(s). If the remainder is not smaller than the divisor, divide it again and add to the quotient.

NameDateTime takenScore ___ / 40
  1. 1.1148 ÷ 8 =
  2. 2.313806 ÷ 998 =
  3. 3.998303 ÷ 998 =
  4. 4.12866 ÷ 89 =
  5. 5.75365 ÷ 98 =
  6. 6.645 ÷ 8 =
  7. 7.201077 ÷ 989 =
  8. 8.336112 ÷ 988 =
  9. 9.64121 ÷ 96 =
  10. 10.60530 ÷ 98 =
  11. 11.12228 ÷ 97 =
  12. 12.12082 ÷ 89 =
  13. 13.6903 ÷ 89 =
  14. 14.77967 ÷ 89 =
  15. 15.557586 ÷ 989 =
  16. 16.75518 ÷ 88 =
  17. 17.7259 ÷ 8 =
  18. 18.8504 ÷ 88 =
  19. 19.50697 ÷ 88 =
  20. 20.80123 ÷ 88 =
  21. 21.18144 ÷ 989 =
  22. 22.706837 ÷ 997 =
  23. 23.6174 ÷ 8 =
  24. 24.36192 ÷ 98 =
  25. 25.961916 ÷ 897 =
  26. 26.578096 ÷ 998 =
  27. 27.55144 ÷ 97 =
  28. 28.9514 ÷ 8 =
  29. 29.60776 ÷ 96 =
  30. 30.305447 ÷ 997 =
  31. 31.12538 ÷ 89 =
  32. 32.3251 ÷ 8 =
  33. 33.25722 ÷ 98 =
  34. 34.87543 ÷ 96 =
  35. 35.910141 ÷ 988 =
  36. 36.203738 ÷ 989 =
  37. 37.97350 ÷ 98 =
  38. 38.78370 ÷ 97 =
  39. 39.9354 ÷ 8 =
  40. 40.422953 ÷ 998 =

Answer key

  1. 143 rem 4
  2. 314 rem 434
  3. 1000 rem 303
  4. 144 rem 50
  5. 769 rem 3
  6. 80 rem 5
  7. 203 rem 310
  8. 340 rem 192
  9. 667 rem 89
  10. 617 rem 64
  11. 126 rem 6
  12. 135 rem 67
  13. 77 rem 50
  14. 876 rem 3
  15. 563 rem 779
  16. 858 rem 14
  17. 907 rem 3
  18. 96 rem 56
  19. 576 rem 9
  20. 910 rem 43
  21. 18 rem 342
  22. 708 rem 961
  23. 771 rem 6
  24. 369 rem 30
  25. 1072 rem 332
  26. 579 rem 254
  27. 568 rem 48
  28. 1189 rem 2
  29. 633 rem 8
  30. 306 rem 365
  31. 140 rem 78
  32. 406 rem 3
  33. 262 rem 46
  34. 911 rem 87
  35. 921 rem 193
  36. 206 rem 4
  37. 993 rem 36
  38. 807 rem 91
  39. 1169 rem 2
  40. 423 rem 799

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