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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 631 · 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. 1.44297 ÷ 97 =
  2. 2.211903 ÷ 997 =
  3. 3.57532 ÷ 988 =
  4. 4.2864 ÷ 8 =
  5. 5.392344 ÷ 997 =
  6. 6.41353 ÷ 897 =
  7. 7.14804 ÷ 89 =
  8. 8.43886 ÷ 98 =
  9. 9.14941 ÷ 89 =
  10. 10.649249 ÷ 997 =
  11. 11.7144 ÷ 96 =
  12. 12.16441 ÷ 98 =
  13. 13.458652 ÷ 997 =
  14. 14.74126 ÷ 98 =
  15. 15.102017 ÷ 988 =
  16. 16.22649 ÷ 98 =
  17. 17.36475 ÷ 96 =
  18. 18.58797 ÷ 98 =
  19. 19.17279 ÷ 88 =
  20. 20.202009 ÷ 897 =
  21. 21.71284 ÷ 98 =
  22. 22.84061 ÷ 96 =
  23. 23.310764 ÷ 897 =
  24. 24.10284 ÷ 88 =
  25. 25.315199 ÷ 897 =
  26. 26.24387 ÷ 88 =
  27. 27.72481 ÷ 98 =
  28. 28.41548 ÷ 98 =
  29. 29.488647 ÷ 997 =
  30. 30.169714 ÷ 897 =
  31. 31.58075 ÷ 88 =
  32. 32.42666 ÷ 997 =
  33. 33.934856 ÷ 997 =
  34. 34.70945 ÷ 96 =
  35. 35.135134 ÷ 998 =
  36. 36.943665 ÷ 998 =
  37. 37.6385 ÷ 89 =
  38. 38.51338 ÷ 96 =
  39. 39.140582 ÷ 998 =
  40. 40.1649 ÷ 8 =

Answer key

  1. 456 rem 65
  2. 212 rem 539
  3. 58 rem 228
  4. 358 rem 0
  5. 393 rem 523
  6. 46 rem 91
  7. 166 rem 30
  8. 447 rem 80
  9. 167 rem 78
  10. 651 rem 202
  11. 74 rem 40
  12. 167 rem 75
  13. 460 rem 32
  14. 756 rem 38
  15. 103 rem 253
  16. 231 rem 11
  17. 379 rem 91
  18. 599 rem 95
  19. 196 rem 31
  20. 225 rem 184
  21. 727 rem 38
  22. 875 rem 61
  23. 346 rem 402
  24. 116 rem 76
  25. 351 rem 352
  26. 277 rem 11
  27. 739 rem 59
  28. 423 rem 94
  29. 490 rem 117
  30. 189 rem 181
  31. 659 rem 83
  32. 42 rem 792
  33. 937 rem 667
  34. 739 rem 1
  35. 135 rem 404
  36. 945 rem 555
  37. 71 rem 66
  38. 534 rem 74
  39. 140 rem 862
  40. 206 rem 1

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