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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 209 · 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. 1.9066 ÷ 97 =
  2. 2.38299 ÷ 98 =
  3. 3.34702 ÷ 98 =
  4. 4.521957 ÷ 988 =
  5. 5.85525 ÷ 88 =
  6. 6.59778 ÷ 97 =
  7. 7.3190 ÷ 8 =
  8. 8.6526 ÷ 8 =
  9. 9.85814 ÷ 96 =
  10. 10.113481 ÷ 998 =
  11. 11.4024 ÷ 96 =
  12. 12.86977 ÷ 897 =
  13. 13.9669 ÷ 8 =
  14. 14.49248 ÷ 97 =
  15. 15.9947 ÷ 8 =
  16. 16.329082 ÷ 998 =
  17. 17.19662 ÷ 97 =
  18. 18.54598 ÷ 96 =
  19. 19.121844 ÷ 989 =
  20. 20.748 ÷ 8 =
  21. 21.7138 ÷ 96 =
  22. 22.3398 ÷ 88 =
  23. 23.2113 ÷ 8 =
  24. 24.63460 ÷ 96 =
  25. 25.4832 ÷ 8 =
  26. 26.18886 ÷ 97 =
  27. 27.118383 ÷ 897 =
  28. 28.67134 ÷ 97 =
  29. 29.667 ÷ 8 =
  30. 30.15448 ÷ 89 =
  31. 31.4103 ÷ 88 =
  32. 32.74153 ÷ 96 =
  33. 33.89382 ÷ 88 =
  34. 34.9476 ÷ 98 =
  35. 35.590351 ÷ 988 =
  36. 36.39421 ÷ 97 =
  37. 37.246476 ÷ 997 =
  38. 38.29307 ÷ 88 =
  39. 39.9888 ÷ 8 =
  40. 40.35944 ÷ 98 =

Answer key

  1. 93 rem 45
  2. 390 rem 79
  3. 354 rem 10
  4. 528 rem 293
  5. 971 rem 77
  6. 616 rem 26
  7. 398 rem 6
  8. 815 rem 6
  9. 893 rem 86
  10. 113 rem 707
  11. 41 rem 88
  12. 96 rem 865
  13. 1208 rem 5
  14. 507 rem 69
  15. 1243 rem 3
  16. 329 rem 740
  17. 202 rem 68
  18. 568 rem 70
  19. 123 rem 197
  20. 93 rem 4
  21. 74 rem 34
  22. 38 rem 54
  23. 264 rem 1
  24. 661 rem 4
  25. 604 rem 0
  26. 194 rem 68
  27. 131 rem 876
  28. 692 rem 10
  29. 83 rem 3
  30. 173 rem 51
  31. 46 rem 55
  32. 772 rem 41
  33. 1015 rem 62
  34. 96 rem 68
  35. 597 rem 515
  36. 406 rem 39
  37. 247 rem 217
  38. 333 rem 3
  39. 1236 rem 0
  40. 366 rem 76

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