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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 501 · 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. 1.78264 ÷ 97 =
  2. 2.107949 ÷ 988 =
  3. 3.511040 ÷ 997 =
  4. 4.29314 ÷ 897 =
  5. 5.20260 ÷ 88 =
  6. 6.478162 ÷ 988 =
  7. 7.25458 ÷ 88 =
  8. 8.32310 ÷ 98 =
  9. 9.36067 ÷ 89 =
  10. 10.25786 ÷ 89 =
  11. 11.268490 ÷ 989 =
  12. 12.18557 ÷ 88 =
  13. 13.925680 ÷ 897 =
  14. 14.60235 ÷ 96 =
  15. 15.996794 ÷ 897 =
  16. 16.403373 ÷ 989 =
  17. 17.27447 ÷ 96 =
  18. 18.85889 ÷ 989 =
  19. 19.229053 ÷ 989 =
  20. 20.25153 ÷ 89 =
  21. 21.260850 ÷ 998 =
  22. 22.96546 ÷ 89 =
  23. 23.2897 ÷ 8 =
  24. 24.85283 ÷ 998 =
  25. 25.1912 ÷ 8 =
  26. 26.912686 ÷ 989 =
  27. 27.70675 ÷ 97 =
  28. 28.5305 ÷ 8 =
  29. 29.9178 ÷ 8 =
  30. 30.114446 ÷ 989 =
  31. 31.63251 ÷ 89 =
  32. 32.225544 ÷ 989 =
  33. 33.57335 ÷ 98 =
  34. 34.74513 ÷ 98 =
  35. 35.90267 ÷ 97 =
  36. 36.875162 ÷ 997 =
  37. 37.7851 ÷ 89 =
  38. 38.401404 ÷ 988 =
  39. 39.88275 ÷ 97 =
  40. 40.4523 ÷ 8 =

Answer key

  1. 806 rem 82
  2. 109 rem 257
  3. 512 rem 576
  4. 32 rem 610
  5. 230 rem 20
  6. 483 rem 958
  7. 289 rem 26
  8. 329 rem 68
  9. 405 rem 22
  10. 289 rem 65
  11. 271 rem 471
  12. 210 rem 77
  13. 1031 rem 873
  14. 627 rem 43
  15. 1111 rem 227
  16. 407 rem 850
  17. 285 rem 87
  18. 86 rem 835
  19. 231 rem 594
  20. 282 rem 55
  21. 261 rem 372
  22. 1084 rem 70
  23. 362 rem 1
  24. 85 rem 453
  25. 239 rem 0
  26. 922 rem 828
  27. 728 rem 59
  28. 663 rem 1
  29. 1147 rem 2
  30. 115 rem 711
  31. 710 rem 61
  32. 228 rem 52
  33. 585 rem 5
  34. 760 rem 33
  35. 930 rem 57
  36. 877 rem 793
  37. 88 rem 19
  38. 406 rem 276
  39. 910 rem 5
  40. 565 rem 3

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