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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 987 · 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. 1.4152 ÷ 8 =
  2. 2.482170 ÷ 988 =
  3. 3.90994 ÷ 96 =
  4. 4.36913 ÷ 98 =
  5. 5.835412 ÷ 989 =
  6. 6.23171 ÷ 88 =
  7. 7.98776 ÷ 98 =
  8. 8.25613 ÷ 96 =
  9. 9.562402 ÷ 998 =
  10. 10.67968 ÷ 98 =
  11. 11.805691 ÷ 988 =
  12. 12.730266 ÷ 997 =
  13. 13.32369 ÷ 97 =
  14. 14.12872 ÷ 96 =
  15. 15.399836 ÷ 988 =
  16. 16.494269 ÷ 998 =
  17. 17.35778 ÷ 97 =
  18. 18.67235 ÷ 88 =
  19. 19.56218 ÷ 96 =
  20. 20.94409 ÷ 88 =
  21. 21.13847 ÷ 96 =
  22. 22.79955 ÷ 998 =
  23. 23.114185 ÷ 997 =
  24. 24.94292 ÷ 98 =
  25. 25.42875 ÷ 97 =
  26. 26.317287 ÷ 997 =
  27. 27.24158 ÷ 897 =
  28. 28.203832 ÷ 989 =
  29. 29.41246 ÷ 98 =
  30. 30.412650 ÷ 989 =
  31. 31.6233 ÷ 96 =
  32. 32.30681 ÷ 96 =
  33. 33.92625 ÷ 97 =
  34. 34.565910 ÷ 988 =
  35. 35.452997 ÷ 998 =
  36. 36.5058 ÷ 8 =
  37. 37.10631 ÷ 98 =
  38. 38.11467 ÷ 88 =
  39. 39.353 ÷ 8 =
  40. 40.214379 ÷ 989 =

Answer key

  1. 519 rem 0
  2. 488 rem 26
  3. 947 rem 82
  4. 376 rem 65
  5. 844 rem 696
  6. 263 rem 27
  7. 1007 rem 90
  8. 266 rem 77
  9. 563 rem 528
  10. 693 rem 54
  11. 815 rem 471
  12. 732 rem 462
  13. 333 rem 68
  14. 134 rem 8
  15. 404 rem 684
  16. 495 rem 259
  17. 368 rem 82
  18. 764 rem 3
  19. 585 rem 58
  20. 1072 rem 73
  21. 144 rem 23
  22. 80 rem 115
  23. 114 rem 527
  24. 962 rem 16
  25. 442 rem 1
  26. 318 rem 241
  27. 26 rem 836
  28. 206 rem 98
  29. 420 rem 86
  30. 417 rem 237
  31. 64 rem 89
  32. 319 rem 57
  33. 954 rem 87
  34. 572 rem 774
  35. 453 rem 903
  36. 632 rem 2
  37. 108 rem 47
  38. 130 rem 27
  39. 44 rem 1
  40. 216 rem 755

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