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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 666 · 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. 1.186597 ÷ 988 =
  2. 2.5778 ÷ 89 =
  3. 3.25940 ÷ 96 =
  4. 4.11513 ÷ 98 =
  5. 5.26928 ÷ 88 =
  6. 6.15320 ÷ 89 =
  7. 7.8968 ÷ 8 =
  8. 8.90218 ÷ 88 =
  9. 9.705776 ÷ 998 =
  10. 10.850 ÷ 8 =
  11. 11.1251 ÷ 8 =
  12. 12.503196 ÷ 989 =
  13. 13.343904 ÷ 897 =
  14. 14.6201 ÷ 8 =
  15. 15.398 ÷ 8 =
  16. 16.2098 ÷ 96 =
  17. 17.20043 ÷ 88 =
  18. 18.81403 ÷ 98 =
  19. 19.930276 ÷ 997 =
  20. 20.439586 ÷ 997 =
  21. 21.6911 ÷ 8 =
  22. 22.48289 ÷ 997 =
  23. 23.48428 ÷ 89 =
  24. 24.33363 ÷ 88 =
  25. 25.870292 ÷ 989 =
  26. 26.64121 ÷ 989 =
  27. 27.568079 ÷ 988 =
  28. 28.2208 ÷ 8 =
  29. 29.72678 ÷ 89 =
  30. 30.97222 ÷ 98 =
  31. 31.662852 ÷ 897 =
  32. 32.2205 ÷ 8 =
  33. 33.1062 ÷ 8 =
  34. 34.54032 ÷ 97 =
  35. 35.97921 ÷ 88 =
  36. 36.647339 ÷ 988 =
  37. 37.4439 ÷ 8 =
  38. 38.2637 ÷ 8 =
  39. 39.4464 ÷ 8 =
  40. 40.2604 ÷ 8 =

Answer key

  1. 188 rem 853
  2. 64 rem 82
  3. 270 rem 20
  4. 117 rem 47
  5. 306 rem 0
  6. 172 rem 12
  7. 1121 rem 0
  8. 1025 rem 18
  9. 707 rem 190
  10. 106 rem 2
  11. 156 rem 3
  12. 508 rem 784
  13. 383 rem 353
  14. 775 rem 1
  15. 49 rem 6
  16. 21 rem 82
  17. 227 rem 67
  18. 830 rem 63
  19. 933 rem 75
  20. 440 rem 906
  21. 863 rem 7
  22. 48 rem 433
  23. 544 rem 12
  24. 379 rem 11
  25. 879 rem 961
  26. 64 rem 825
  27. 574 rem 967
  28. 276 rem 0
  29. 816 rem 54
  30. 992 rem 6
  31. 738 rem 866
  32. 275 rem 5
  33. 132 rem 6
  34. 557 rem 3
  35. 1112 rem 65
  36. 655 rem 199
  37. 554 rem 7
  38. 329 rem 5
  39. 558 rem 0
  40. 325 rem 4

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