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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 105 · 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. 1.17934 ÷ 89 =
  2. 2.55140 ÷ 988 =
  3. 3.277142 ÷ 988 =
  4. 4.52429 ÷ 89 =
  5. 5.8434 ÷ 8 =
  6. 6.784205 ÷ 897 =
  7. 7.46306 ÷ 989 =
  8. 8.73518 ÷ 98 =
  9. 9.492216 ÷ 988 =
  10. 10.55706 ÷ 88 =
  11. 11.34751 ÷ 97 =
  12. 12.576579 ÷ 989 =
  13. 13.131909 ÷ 998 =
  14. 14.33492 ÷ 98 =
  15. 15.926620 ÷ 997 =
  16. 16.65434 ÷ 88 =
  17. 17.6873 ÷ 8 =
  18. 18.522224 ÷ 989 =
  19. 19.55901 ÷ 98 =
  20. 20.580157 ÷ 997 =
  21. 21.901420 ÷ 988 =
  22. 22.111915 ÷ 997 =
  23. 23.4228 ÷ 89 =
  24. 24.2261 ÷ 97 =
  25. 25.233924 ÷ 989 =
  26. 26.545154 ÷ 989 =
  27. 27.91119 ÷ 97 =
  28. 28.38137 ÷ 998 =
  29. 29.70921 ÷ 96 =
  30. 30.890395 ÷ 997 =
  31. 31.617663 ÷ 989 =
  32. 32.59853 ÷ 98 =
  33. 33.169629 ÷ 997 =
  34. 34.829666 ÷ 997 =
  35. 35.66216 ÷ 97 =
  36. 36.747938 ÷ 998 =
  37. 37.311420 ÷ 998 =
  38. 38.937033 ÷ 989 =
  39. 39.226199 ÷ 989 =
  40. 40.297421 ÷ 997 =

Answer key

  1. 201 rem 45
  2. 55 rem 800
  3. 280 rem 502
  4. 589 rem 8
  5. 1054 rem 2
  6. 874 rem 227
  7. 46 rem 812
  8. 750 rem 18
  9. 498 rem 192
  10. 633 rem 2
  11. 358 rem 25
  12. 582 rem 981
  13. 132 rem 173
  14. 341 rem 74
  15. 929 rem 407
  16. 743 rem 50
  17. 859 rem 1
  18. 528 rem 32
  19. 570 rem 41
  20. 581 rem 900
  21. 912 rem 364
  22. 112 rem 251
  23. 47 rem 45
  24. 23 rem 30
  25. 236 rem 520
  26. 551 rem 215
  27. 939 rem 36
  28. 38 rem 213
  29. 738 rem 73
  30. 893 rem 74
  31. 624 rem 527
  32. 610 rem 73
  33. 170 rem 139
  34. 832 rem 162
  35. 682 rem 62
  36. 749 rem 436
  37. 312 rem 44
  38. 947 rem 450
  39. 228 rem 707
  40. 298 rem 315

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