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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 198 · 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. 1.159804 ÷ 897 =
  2. 2.19358 ÷ 97 =
  3. 3.29714 ÷ 89 =
  4. 4.25587 ÷ 97 =
  5. 5.8158 ÷ 96 =
  6. 6.651119 ÷ 997 =
  7. 7.44469 ÷ 96 =
  8. 8.265193 ÷ 998 =
  9. 9.71362 ÷ 88 =
  10. 10.174485 ÷ 998 =
  11. 11.2570 ÷ 8 =
  12. 12.10430 ÷ 98 =
  13. 13.863384 ÷ 988 =
  14. 14.5675 ÷ 8 =
  15. 15.362296 ÷ 997 =
  16. 16.70573 ÷ 97 =
  17. 17.7767 ÷ 8 =
  18. 18.8427 ÷ 96 =
  19. 19.8692 ÷ 8 =
  20. 20.13592 ÷ 98 =
  21. 21.249483 ÷ 997 =
  22. 22.174120 ÷ 997 =
  23. 23.240479 ÷ 988 =
  24. 24.271339 ÷ 998 =
  25. 25.917346 ÷ 998 =
  26. 26.53644 ÷ 97 =
  27. 27.599944 ÷ 988 =
  28. 28.934988 ÷ 988 =
  29. 29.917069 ÷ 988 =
  30. 30.95391 ÷ 88 =
  31. 31.78572 ÷ 98 =
  32. 32.12553 ÷ 88 =
  33. 33.825021 ÷ 997 =
  34. 34.638520 ÷ 897 =
  35. 35.1546 ÷ 8 =
  36. 36.69751 ÷ 97 =
  37. 37.29374 ÷ 89 =
  38. 38.469202 ÷ 989 =
  39. 39.9436 ÷ 97 =
  40. 40.14296 ÷ 89 =

Answer key

  1. 178 rem 138
  2. 199 rem 55
  3. 333 rem 77
  4. 263 rem 76
  5. 84 rem 94
  6. 653 rem 78
  7. 463 rem 21
  8. 265 rem 723
  9. 810 rem 82
  10. 174 rem 833
  11. 321 rem 2
  12. 106 rem 42
  13. 873 rem 860
  14. 709 rem 3
  15. 363 rem 385
  16. 727 rem 54
  17. 970 rem 7
  18. 87 rem 75
  19. 1086 rem 4
  20. 138 rem 68
  21. 250 rem 233
  22. 174 rem 642
  23. 243 rem 395
  24. 271 rem 881
  25. 919 rem 184
  26. 553 rem 3
  27. 607 rem 228
  28. 946 rem 340
  29. 928 rem 205
  30. 1083 rem 87
  31. 801 rem 74
  32. 142 rem 57
  33. 827 rem 502
  34. 711 rem 753
  35. 193 rem 2
  36. 719 rem 8
  37. 330 rem 4
  38. 474 rem 416
  39. 97 rem 27
  40. 160 rem 56

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