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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 342 · 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. 1.19519 ÷ 98 =
  2. 2.71824 ÷ 88 =
  3. 3.233372 ÷ 998 =
  4. 4.236740 ÷ 988 =
  5. 5.91707 ÷ 97 =
  6. 6.18922 ÷ 89 =
  7. 7.19125 ÷ 96 =
  8. 8.76037 ÷ 98 =
  9. 9.85794 ÷ 89 =
  10. 10.89958 ÷ 88 =
  11. 11.910289 ÷ 998 =
  12. 12.92662 ÷ 88 =
  13. 13.12140 ÷ 97 =
  14. 14.448903 ÷ 998 =
  15. 15.844988 ÷ 998 =
  16. 16.9191 ÷ 98 =
  17. 17.2616 ÷ 96 =
  18. 18.28698 ÷ 88 =
  19. 19.8550 ÷ 8 =
  20. 20.552786 ÷ 988 =
  21. 21.30955 ÷ 89 =
  22. 22.24089 ÷ 98 =
  23. 23.210591 ÷ 897 =
  24. 24.10028 ÷ 998 =
  25. 25.53840 ÷ 96 =
  26. 26.74497 ÷ 989 =
  27. 27.2391 ÷ 88 =
  28. 28.144094 ÷ 989 =
  29. 29.423436 ÷ 897 =
  30. 30.31293 ÷ 98 =
  31. 31.563530 ÷ 997 =
  32. 32.2792 ÷ 89 =
  33. 33.29809 ÷ 88 =
  34. 34.66498 ÷ 997 =
  35. 35.105420 ÷ 988 =
  36. 36.11499 ÷ 98 =
  37. 37.61778 ÷ 98 =
  38. 38.81423 ÷ 96 =
  39. 39.750762 ÷ 998 =
  40. 40.2536 ÷ 89 =

Answer key

  1. 199 rem 17
  2. 816 rem 16
  3. 233 rem 838
  4. 239 rem 608
  5. 945 rem 42
  6. 212 rem 54
  7. 199 rem 21
  8. 775 rem 87
  9. 963 rem 87
  10. 1022 rem 22
  11. 912 rem 113
  12. 1052 rem 86
  13. 125 rem 15
  14. 449 rem 801
  15. 846 rem 680
  16. 93 rem 77
  17. 27 rem 24
  18. 326 rem 10
  19. 1068 rem 6
  20. 559 rem 494
  21. 347 rem 72
  22. 245 rem 79
  23. 234 rem 693
  24. 10 rem 48
  25. 560 rem 80
  26. 75 rem 322
  27. 27 rem 15
  28. 145 rem 689
  29. 472 rem 52
  30. 319 rem 31
  31. 565 rem 225
  32. 31 rem 33
  33. 338 rem 65
  34. 66 rem 696
  35. 106 rem 692
  36. 117 rem 33
  37. 630 rem 38
  38. 848 rem 15
  39. 752 rem 266
  40. 28 rem 44

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