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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 976 · 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. 1.481253 ÷ 989 =
  2. 2.71528 ÷ 89 =
  3. 3.676564 ÷ 989 =
  4. 4.630375 ÷ 989 =
  5. 5.45965 ÷ 97 =
  6. 6.885275 ÷ 997 =
  7. 7.66250 ÷ 97 =
  8. 8.43595 ÷ 89 =
  9. 9.334640 ÷ 897 =
  10. 10.134062 ÷ 989 =
  11. 11.12248 ÷ 97 =
  12. 12.57112 ÷ 97 =
  13. 13.207618 ÷ 998 =
  14. 14.79373 ÷ 88 =
  15. 15.352955 ÷ 997 =
  16. 16.95347 ÷ 88 =
  17. 17.37127 ÷ 89 =
  18. 18.82955 ÷ 89 =
  19. 19.802707 ÷ 897 =
  20. 20.1858 ÷ 8 =
  21. 21.49868 ÷ 88 =
  22. 22.38956 ÷ 88 =
  23. 23.94754 ÷ 88 =
  24. 24.97865 ÷ 96 =
  25. 25.89783 ÷ 89 =
  26. 26.24570 ÷ 98 =
  27. 27.150433 ÷ 997 =
  28. 28.53723 ÷ 98 =
  29. 29.187965 ÷ 897 =
  30. 30.281255 ÷ 989 =
  31. 31.897059 ÷ 998 =
  32. 32.82993 ÷ 89 =
  33. 33.15482 ÷ 97 =
  34. 34.85496 ÷ 98 =
  35. 35.96511 ÷ 88 =
  36. 36.665277 ÷ 998 =
  37. 37.6352 ÷ 98 =
  38. 38.12211 ÷ 97 =
  39. 39.85099 ÷ 96 =
  40. 40.301119 ÷ 989 =

Answer key

  1. 486 rem 599
  2. 803 rem 61
  3. 684 rem 88
  4. 637 rem 382
  5. 473 rem 84
  6. 887 rem 936
  7. 682 rem 96
  8. 489 rem 74
  9. 373 rem 59
  10. 135 rem 547
  11. 126 rem 26
  12. 588 rem 76
  13. 208 rem 34
  14. 901 rem 85
  15. 354 rem 17
  16. 1083 rem 43
  17. 417 rem 14
  18. 932 rem 7
  19. 894 rem 789
  20. 232 rem 2
  21. 566 rem 60
  22. 442 rem 60
  23. 1076 rem 66
  24. 1019 rem 41
  25. 1008 rem 71
  26. 250 rem 70
  27. 150 rem 883
  28. 548 rem 19
  29. 209 rem 492
  30. 284 rem 379
  31. 898 rem 855
  32. 932 rem 45
  33. 159 rem 59
  34. 872 rem 40
  35. 1096 rem 63
  36. 666 rem 609
  37. 64 rem 80
  38. 125 rem 86
  39. 886 rem 43
  40. 304 rem 463

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