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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 640 · 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. 1.2198 ÷ 8 =
  2. 2.9436 ÷ 88 =
  3. 3.15154 ÷ 97 =
  4. 4.645126 ÷ 998 =
  5. 5.81120 ÷ 96 =
  6. 6.353744 ÷ 988 =
  7. 7.606352 ÷ 997 =
  8. 8.776349 ÷ 988 =
  9. 9.819860 ÷ 897 =
  10. 10.275627 ÷ 988 =
  11. 11.985756 ÷ 897 =
  12. 12.26052 ÷ 89 =
  13. 13.911277 ÷ 897 =
  14. 14.532764 ÷ 989 =
  15. 15.42159 ÷ 96 =
  16. 16.368566 ÷ 897 =
  17. 17.26550 ÷ 97 =
  18. 18.218760 ÷ 897 =
  19. 19.29771 ÷ 97 =
  20. 20.880248 ÷ 988 =
  21. 21.24373 ÷ 89 =
  22. 22.78364 ÷ 89 =
  23. 23.93045 ÷ 98 =
  24. 24.23710 ÷ 96 =
  25. 25.4538 ÷ 98 =
  26. 26.136458 ÷ 897 =
  27. 27.83389 ÷ 89 =
  28. 28.38996 ÷ 97 =
  29. 29.55782 ÷ 96 =
  30. 30.47255 ÷ 96 =
  31. 31.315168 ÷ 897 =
  32. 32.21450 ÷ 989 =
  33. 33.80392 ÷ 98 =
  34. 34.691135 ÷ 997 =
  35. 35.916510 ÷ 988 =
  36. 36.7234 ÷ 97 =
  37. 37.941203 ÷ 989 =
  38. 38.95159 ÷ 89 =
  39. 39.77414 ÷ 97 =
  40. 40.8392 ÷ 89 =

Answer key

  1. 274 rem 6
  2. 107 rem 20
  3. 156 rem 22
  4. 646 rem 418
  5. 845 rem 0
  6. 358 rem 40
  7. 608 rem 176
  8. 785 rem 769
  9. 914 rem 2
  10. 278 rem 963
  11. 1098 rem 850
  12. 292 rem 64
  13. 1015 rem 822
  14. 538 rem 682
  15. 439 rem 15
  16. 410 rem 796
  17. 273 rem 69
  18. 243 rem 789
  19. 306 rem 89
  20. 890 rem 928
  21. 273 rem 76
  22. 880 rem 44
  23. 949 rem 43
  24. 246 rem 94
  25. 46 rem 30
  26. 152 rem 114
  27. 936 rem 85
  28. 402 rem 2
  29. 581 rem 6
  30. 492 rem 23
  31. 351 rem 321
  32. 21 rem 681
  33. 820 rem 32
  34. 693 rem 214
  35. 927 rem 634
  36. 74 rem 56
  37. 951 rem 664
  38. 1069 rem 18
  39. 798 rem 8
  40. 94 rem 26

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