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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 491 · 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. 1.20240 ÷ 96 =
  2. 2.793899 ÷ 998 =
  3. 3.768398 ÷ 988 =
  4. 4.9636 ÷ 8 =
  5. 5.24829 ÷ 89 =
  6. 6.66269 ÷ 88 =
  7. 7.810560 ÷ 897 =
  8. 8.69501 ÷ 96 =
  9. 9.90743 ÷ 97 =
  10. 10.9709 ÷ 8 =
  11. 11.944358 ÷ 989 =
  12. 12.24094 ÷ 89 =
  13. 13.22431 ÷ 98 =
  14. 14.552387 ÷ 988 =
  15. 15.30520 ÷ 96 =
  16. 16.976198 ÷ 998 =
  17. 17.26594 ÷ 98 =
  18. 18.31216 ÷ 89 =
  19. 19.17558 ÷ 97 =
  20. 20.55997 ÷ 96 =
  21. 21.56904 ÷ 88 =
  22. 22.22665 ÷ 98 =
  23. 23.377133 ÷ 997 =
  24. 24.5303 ÷ 96 =
  25. 25.6296 ÷ 8 =
  26. 26.22136 ÷ 97 =
  27. 27.74183 ÷ 88 =
  28. 28.221584 ÷ 989 =
  29. 29.877792 ÷ 897 =
  30. 30.19842 ÷ 88 =
  31. 31.947653 ÷ 989 =
  32. 32.29185 ÷ 89 =
  33. 33.840452 ÷ 997 =
  34. 34.9101 ÷ 8 =
  35. 35.15378 ÷ 98 =
  36. 36.45539 ÷ 98 =
  37. 37.322535 ÷ 998 =
  38. 38.33866 ÷ 988 =
  39. 39.79960 ÷ 98 =
  40. 40.28118 ÷ 97 =

Answer key

  1. 210 rem 80
  2. 795 rem 489
  3. 777 rem 722
  4. 1204 rem 4
  5. 278 rem 87
  6. 753 rem 5
  7. 903 rem 569
  8. 723 rem 93
  9. 935 rem 48
  10. 1213 rem 5
  11. 954 rem 852
  12. 270 rem 64
  13. 228 rem 87
  14. 559 rem 95
  15. 317 rem 88
  16. 978 rem 154
  17. 271 rem 36
  18. 350 rem 66
  19. 181 rem 1
  20. 583 rem 29
  21. 646 rem 56
  22. 231 rem 27
  23. 378 rem 267
  24. 55 rem 23
  25. 787 rem 0
  26. 228 rem 20
  27. 842 rem 87
  28. 224 rem 48
  29. 978 rem 526
  30. 225 rem 42
  31. 958 rem 191
  32. 327 rem 82
  33. 842 rem 978
  34. 1137 rem 5
  35. 156 rem 90
  36. 464 rem 67
  37. 323 rem 181
  38. 34 rem 274
  39. 815 rem 90
  40. 289 rem 85

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