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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 161 · 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. 1.87808 ÷ 98 =
  2. 2.1452 ÷ 97 =
  3. 3.123175 ÷ 997 =
  4. 4.20615 ÷ 96 =
  5. 5.200942 ÷ 988 =
  6. 6.5313 ÷ 97 =
  7. 7.89458 ÷ 89 =
  8. 8.37107 ÷ 96 =
  9. 9.3066 ÷ 96 =
  10. 10.961026 ÷ 897 =
  11. 11.49236 ÷ 97 =
  12. 12.58347 ÷ 97 =
  13. 13.794554 ÷ 988 =
  14. 14.969958 ÷ 997 =
  15. 15.875820 ÷ 897 =
  16. 16.70547 ÷ 88 =
  17. 17.32379 ÷ 88 =
  18. 18.24341 ÷ 88 =
  19. 19.6967 ÷ 8 =
  20. 20.424070 ÷ 988 =
  21. 21.558418 ÷ 897 =
  22. 22.591323 ÷ 989 =
  23. 23.114609 ÷ 988 =
  24. 24.1861 ÷ 8 =
  25. 25.769946 ÷ 988 =
  26. 26.7942 ÷ 8 =
  27. 27.6190 ÷ 8 =
  28. 28.58422 ÷ 98 =
  29. 29.941026 ÷ 998 =
  30. 30.7806 ÷ 96 =
  31. 31.3073 ÷ 8 =
  32. 32.243485 ÷ 989 =
  33. 33.170219 ÷ 989 =
  34. 34.116 ÷ 8 =
  35. 35.327952 ÷ 988 =
  36. 36.40040 ÷ 96 =
  37. 37.724322 ÷ 997 =
  38. 38.21539 ÷ 88 =
  39. 39.616856 ÷ 988 =
  40. 40.972259 ÷ 989 =

Answer key

  1. 896 rem 0
  2. 14 rem 94
  3. 123 rem 544
  4. 214 rem 71
  5. 203 rem 378
  6. 54 rem 75
  7. 1005 rem 13
  8. 386 rem 51
  9. 31 rem 90
  10. 1071 rem 339
  11. 507 rem 57
  12. 601 rem 50
  13. 804 rem 202
  14. 972 rem 874
  15. 976 rem 348
  16. 801 rem 59
  17. 367 rem 83
  18. 276 rem 53
  19. 870 rem 7
  20. 429 rem 218
  21. 622 rem 484
  22. 597 rem 890
  23. 116 rem 1
  24. 232 rem 5
  25. 779 rem 294
  26. 992 rem 6
  27. 773 rem 6
  28. 596 rem 14
  29. 942 rem 910
  30. 81 rem 30
  31. 384 rem 1
  32. 246 rem 191
  33. 172 rem 111
  34. 14 rem 4
  35. 331 rem 924
  36. 417 rem 8
  37. 726 rem 500
  38. 244 rem 67
  39. 624 rem 344
  40. 983 rem 72

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