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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 139 · 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. 1.35173 ÷ 97 =
  2. 2.93923 ÷ 96 =
  3. 3.220353 ÷ 988 =
  4. 4.51157 ÷ 97 =
  5. 5.2510 ÷ 8 =
  6. 6.450030 ÷ 997 =
  7. 7.7196 ÷ 98 =
  8. 8.10809 ÷ 88 =
  9. 9.37593 ÷ 988 =
  10. 10.203252 ÷ 988 =
  11. 11.93814 ÷ 897 =
  12. 12.13254 ÷ 88 =
  13. 13.11693 ÷ 97 =
  14. 14.390540 ÷ 998 =
  15. 15.120905 ÷ 998 =
  16. 16.833961 ÷ 989 =
  17. 17.25229 ÷ 96 =
  18. 18.564678 ÷ 988 =
  19. 19.97960 ÷ 97 =
  20. 20.29159 ÷ 97 =
  21. 21.54771 ÷ 88 =
  22. 22.64683 ÷ 98 =
  23. 23.19625 ÷ 96 =
  24. 24.467046 ÷ 997 =
  25. 25.81941 ÷ 96 =
  26. 26.778482 ÷ 989 =
  27. 27.629608 ÷ 988 =
  28. 28.3938 ÷ 96 =
  29. 29.3694 ÷ 97 =
  30. 30.31331 ÷ 89 =
  31. 31.27535 ÷ 88 =
  32. 32.219820 ÷ 897 =
  33. 33.59979 ÷ 96 =
  34. 34.98225 ÷ 97 =
  35. 35.341223 ÷ 988 =
  36. 36.559850 ÷ 998 =
  37. 37.2967 ÷ 8 =
  38. 38.46498 ÷ 89 =
  39. 39.13179 ÷ 89 =
  40. 40.374652 ÷ 998 =

Answer key

  1. 362 rem 59
  2. 978 rem 35
  3. 223 rem 29
  4. 527 rem 38
  5. 313 rem 6
  6. 451 rem 383
  7. 73 rem 42
  8. 122 rem 73
  9. 38 rem 49
  10. 205 rem 712
  11. 104 rem 526
  12. 150 rem 54
  13. 120 rem 53
  14. 391 rem 322
  15. 121 rem 147
  16. 843 rem 234
  17. 262 rem 77
  18. 571 rem 530
  19. 1009 rem 87
  20. 300 rem 59
  21. 622 rem 35
  22. 660 rem 3
  23. 204 rem 41
  24. 468 rem 450
  25. 853 rem 53
  26. 787 rem 139
  27. 637 rem 252
  28. 41 rem 2
  29. 38 rem 8
  30. 352 rem 3
  31. 312 rem 79
  32. 245 rem 55
  33. 624 rem 75
  34. 1012 rem 61
  35. 345 rem 363
  36. 560 rem 970
  37. 370 rem 7
  38. 522 rem 40
  39. 148 rem 7
  40. 375 rem 402

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