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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 668 · 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. 1.641026 ÷ 988 =
  2. 2.37804 ÷ 97 =
  3. 3.100078 ÷ 897 =
  4. 4.30491 ÷ 998 =
  5. 5.37469 ÷ 96 =
  6. 6.90685 ÷ 997 =
  7. 7.5099 ÷ 98 =
  8. 8.600019 ÷ 998 =
  9. 9.478113 ÷ 997 =
  10. 10.91324 ÷ 97 =
  11. 11.95909 ÷ 89 =
  12. 12.52600 ÷ 97 =
  13. 13.48177 ÷ 98 =
  14. 14.814110 ÷ 988 =
  15. 15.48955 ÷ 97 =
  16. 16.268065 ÷ 997 =
  17. 17.127251 ÷ 988 =
  18. 18.73883 ÷ 98 =
  19. 19.25786 ÷ 98 =
  20. 20.104163 ÷ 988 =
  21. 21.3011 ÷ 88 =
  22. 22.18579 ÷ 89 =
  23. 23.64590 ÷ 89 =
  24. 24.53936 ÷ 96 =
  25. 25.916837 ÷ 897 =
  26. 26.926678 ÷ 997 =
  27. 27.362194 ÷ 988 =
  28. 28.117833 ÷ 989 =
  29. 29.14372 ÷ 89 =
  30. 30.34264 ÷ 97 =
  31. 31.53917 ÷ 98 =
  32. 32.35626 ÷ 88 =
  33. 33.574151 ÷ 998 =
  34. 34.92391 ÷ 98 =
  35. 35.2784 ÷ 97 =
  36. 36.428243 ÷ 988 =
  37. 37.989303 ÷ 998 =
  38. 38.92238 ÷ 89 =
  39. 39.400168 ÷ 897 =
  40. 40.15922 ÷ 96 =

Answer key

  1. 648 rem 802
  2. 389 rem 71
  3. 111 rem 511
  4. 30 rem 551
  5. 390 rem 29
  6. 90 rem 955
  7. 52 rem 3
  8. 601 rem 221
  9. 479 rem 550
  10. 941 rem 47
  11. 1077 rem 56
  12. 542 rem 26
  13. 491 rem 59
  14. 823 rem 986
  15. 504 rem 67
  16. 268 rem 869
  17. 128 rem 787
  18. 753 rem 89
  19. 263 rem 12
  20. 105 rem 423
  21. 34 rem 19
  22. 208 rem 67
  23. 725 rem 65
  24. 561 rem 80
  25. 1022 rem 103
  26. 929 rem 465
  27. 366 rem 586
  28. 119 rem 142
  29. 161 rem 43
  30. 353 rem 23
  31. 550 rem 17
  32. 404 rem 74
  33. 575 rem 301
  34. 942 rem 75
  35. 28 rem 68
  36. 433 rem 439
  37. 991 rem 285
  38. 1036 rem 34
  39. 446 rem 106
  40. 165 rem 82

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