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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 542 · 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. 1.253639 ÷ 998 =
  2. 2.600458 ÷ 989 =
  3. 3.287782 ÷ 897 =
  4. 4.1821 ÷ 88 =
  5. 5.394910 ÷ 897 =
  6. 6.96727 ÷ 96 =
  7. 7.705524 ÷ 989 =
  8. 8.5767 ÷ 8 =
  9. 9.788790 ÷ 997 =
  10. 10.449085 ÷ 997 =
  11. 11.10222 ÷ 88 =
  12. 12.56337 ÷ 88 =
  13. 13.156609 ÷ 997 =
  14. 14.267291 ÷ 997 =
  15. 15.716290 ÷ 998 =
  16. 16.10053 ÷ 98 =
  17. 17.6288 ÷ 8 =
  18. 18.229332 ÷ 997 =
  19. 19.27089 ÷ 989 =
  20. 20.215343 ÷ 998 =
  21. 21.493600 ÷ 989 =
  22. 22.82212 ÷ 97 =
  23. 23.527885 ÷ 997 =
  24. 24.23856 ÷ 98 =
  25. 25.56601 ÷ 98 =
  26. 26.91129 ÷ 98 =
  27. 27.2404 ÷ 8 =
  28. 28.235254 ÷ 989 =
  29. 29.433971 ÷ 989 =
  30. 30.972771 ÷ 897 =
  31. 31.614342 ÷ 897 =
  32. 32.611854 ÷ 897 =
  33. 33.858307 ÷ 897 =
  34. 34.36205 ÷ 97 =
  35. 35.14653 ÷ 98 =
  36. 36.943207 ÷ 989 =
  37. 37.57116 ÷ 97 =
  38. 38.90165 ÷ 88 =
  39. 39.55719 ÷ 98 =
  40. 40.68802 ÷ 96 =

Answer key

  1. 254 rem 147
  2. 607 rem 135
  3. 320 rem 742
  4. 20 rem 61
  5. 440 rem 230
  6. 1007 rem 55
  7. 713 rem 367
  8. 720 rem 7
  9. 791 rem 163
  10. 450 rem 435
  11. 116 rem 14
  12. 640 rem 17
  13. 157 rem 80
  14. 268 rem 95
  15. 717 rem 724
  16. 102 rem 57
  17. 786 rem 0
  18. 230 rem 22
  19. 27 rem 386
  20. 215 rem 773
  21. 499 rem 89
  22. 847 rem 53
  23. 529 rem 472
  24. 243 rem 42
  25. 577 rem 55
  26. 929 rem 87
  27. 300 rem 4
  28. 237 rem 861
  29. 438 rem 789
  30. 1084 rem 423
  31. 684 rem 794
  32. 682 rem 100
  33. 956 rem 775
  34. 373 rem 24
  35. 149 rem 51
  36. 953 rem 690
  37. 588 rem 80
  38. 1024 rem 53
  39. 568 rem 55
  40. 716 rem 66

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