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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 558 · 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. 1.63194 ÷ 89 =
  2. 2.73555 ÷ 98 =
  3. 3.54213 ÷ 88 =
  4. 4.99250 ÷ 89 =
  5. 5.68973 ÷ 97 =
  6. 6.62746 ÷ 98 =
  7. 7.43170 ÷ 988 =
  8. 8.541348 ÷ 998 =
  9. 9.2787 ÷ 96 =
  10. 10.177511 ÷ 997 =
  11. 11.67137 ÷ 998 =
  12. 12.58535 ÷ 97 =
  13. 13.668389 ÷ 997 =
  14. 14.11281 ÷ 89 =
  15. 15.60670 ÷ 89 =
  16. 16.34503 ÷ 89 =
  17. 17.11118 ÷ 98 =
  18. 18.917414 ÷ 997 =
  19. 19.24447 ÷ 88 =
  20. 20.540803 ÷ 997 =
  21. 21.88864 ÷ 88 =
  22. 22.16206 ÷ 97 =
  23. 23.17179 ÷ 88 =
  24. 24.78867 ÷ 96 =
  25. 25.95015 ÷ 89 =
  26. 26.86430 ÷ 98 =
  27. 27.44768 ÷ 89 =
  28. 28.842137 ÷ 989 =
  29. 29.442185 ÷ 997 =
  30. 30.20191 ÷ 97 =
  31. 31.341049 ÷ 997 =
  32. 32.27254 ÷ 98 =
  33. 33.47899 ÷ 97 =
  34. 34.80065 ÷ 89 =
  35. 35.842267 ÷ 989 =
  36. 36.796242 ÷ 989 =
  37. 37.5661 ÷ 8 =
  38. 38.90324 ÷ 96 =
  39. 39.43276 ÷ 98 =
  40. 40.67034 ÷ 98 =

Answer key

  1. 710 rem 4
  2. 750 rem 55
  3. 616 rem 5
  4. 1115 rem 15
  5. 711 rem 6
  6. 640 rem 26
  7. 43 rem 686
  8. 542 rem 432
  9. 29 rem 3
  10. 178 rem 45
  11. 67 rem 271
  12. 603 rem 44
  13. 670 rem 399
  14. 126 rem 67
  15. 681 rem 61
  16. 387 rem 60
  17. 113 rem 44
  18. 920 rem 174
  19. 277 rem 71
  20. 542 rem 429
  21. 1009 rem 72
  22. 167 rem 7
  23. 195 rem 19
  24. 821 rem 51
  25. 1067 rem 52
  26. 881 rem 92
  27. 503 rem 1
  28. 851 rem 498
  29. 443 rem 514
  30. 208 rem 15
  31. 342 rem 75
  32. 278 rem 10
  33. 493 rem 78
  34. 899 rem 54
  35. 851 rem 628
  36. 805 rem 97
  37. 707 rem 5
  38. 940 rem 84
  39. 441 rem 58
  40. 684 rem 2

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