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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 874 · 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. 1.855225 ÷ 897 =
  2. 2.296949 ÷ 998 =
  3. 3.363118 ÷ 897 =
  4. 4.215880 ÷ 998 =
  5. 5.82236 ÷ 97 =
  6. 6.14367 ÷ 88 =
  7. 7.13904 ÷ 998 =
  8. 8.701764 ÷ 897 =
  9. 9.85477 ÷ 97 =
  10. 10.9904 ÷ 8 =
  11. 11.753185 ÷ 988 =
  12. 12.45577 ÷ 96 =
  13. 13.9455 ÷ 8 =
  14. 14.69965 ÷ 89 =
  15. 15.92322 ÷ 97 =
  16. 16.110366 ÷ 988 =
  17. 17.675129 ÷ 997 =
  18. 18.997915 ÷ 989 =
  19. 19.3298 ÷ 8 =
  20. 20.80969 ÷ 89 =
  21. 21.360573 ÷ 897 =
  22. 22.25513 ÷ 88 =
  23. 23.5926 ÷ 88 =
  24. 24.8053 ÷ 8 =
  25. 25.73228 ÷ 96 =
  26. 26.73375 ÷ 98 =
  27. 27.61568 ÷ 89 =
  28. 28.36195 ÷ 97 =
  29. 29.145255 ÷ 988 =
  30. 30.2374 ÷ 8 =
  31. 31.80106 ÷ 96 =
  32. 32.920211 ÷ 988 =
  33. 33.74558 ÷ 88 =
  34. 34.73634 ÷ 88 =
  35. 35.883401 ÷ 989 =
  36. 36.4409 ÷ 8 =
  37. 37.2239 ÷ 8 =
  38. 38.50929 ÷ 89 =
  39. 39.882425 ÷ 989 =
  40. 40.837833 ÷ 997 =

Answer key

  1. 953 rem 384
  2. 297 rem 543
  3. 404 rem 730
  4. 216 rem 312
  5. 847 rem 77
  6. 163 rem 23
  7. 13 rem 930
  8. 782 rem 310
  9. 881 rem 20
  10. 1238 rem 0
  11. 762 rem 329
  12. 474 rem 73
  13. 1181 rem 7
  14. 786 rem 11
  15. 951 rem 75
  16. 111 rem 698
  17. 677 rem 160
  18. 1009 rem 14
  19. 412 rem 2
  20. 909 rem 68
  21. 401 rem 876
  22. 289 rem 81
  23. 67 rem 30
  24. 1006 rem 5
  25. 762 rem 76
  26. 748 rem 71
  27. 691 rem 69
  28. 373 rem 14
  29. 147 rem 19
  30. 296 rem 6
  31. 834 rem 42
  32. 931 rem 383
  33. 847 rem 22
  34. 836 rem 66
  35. 893 rem 224
  36. 551 rem 1
  37. 279 rem 7
  38. 572 rem 21
  39. 892 rem 237
  40. 840 rem 353

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