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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 174 · 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. 1.31537 ÷ 97 =
  2. 2.943993 ÷ 997 =
  3. 3.47949 ÷ 98 =
  4. 4.317385 ÷ 988 =
  5. 5.608685 ÷ 897 =
  6. 6.62508 ÷ 89 =
  7. 7.30186 ÷ 97 =
  8. 8.5672 ÷ 8 =
  9. 9.887057 ÷ 997 =
  10. 10.79666 ÷ 998 =
  11. 11.249214 ÷ 988 =
  12. 12.30501 ÷ 96 =
  13. 13.72073 ÷ 89 =
  14. 14.39887 ÷ 98 =
  15. 15.4101 ÷ 8 =
  16. 16.1672 ÷ 8 =
  17. 17.61164 ÷ 997 =
  18. 18.75473 ÷ 88 =
  19. 19.8156 ÷ 89 =
  20. 20.2816 ÷ 8 =
  21. 21.11874 ÷ 98 =
  22. 22.712316 ÷ 897 =
  23. 23.12503 ÷ 97 =
  24. 24.70745 ÷ 89 =
  25. 25.32315 ÷ 97 =
  26. 26.342512 ÷ 998 =
  27. 27.211510 ÷ 997 =
  28. 28.98830 ÷ 97 =
  29. 29.62441 ÷ 89 =
  30. 30.95436 ÷ 998 =
  31. 31.988682 ÷ 988 =
  32. 32.75933 ÷ 98 =
  33. 33.25691 ÷ 89 =
  34. 34.71176 ÷ 89 =
  35. 35.388312 ÷ 989 =
  36. 36.9196 ÷ 97 =
  37. 37.93200 ÷ 98 =
  38. 38.7698 ÷ 88 =
  39. 39.33840 ÷ 98 =
  40. 40.46122 ÷ 98 =

Answer key

  1. 325 rem 12
  2. 946 rem 831
  3. 489 rem 27
  4. 321 rem 237
  5. 678 rem 519
  6. 702 rem 30
  7. 311 rem 19
  8. 709 rem 0
  9. 889 rem 724
  10. 79 rem 824
  11. 252 rem 238
  12. 317 rem 69
  13. 809 rem 72
  14. 407 rem 1
  15. 512 rem 5
  16. 209 rem 0
  17. 61 rem 347
  18. 857 rem 57
  19. 91 rem 57
  20. 352 rem 0
  21. 121 rem 16
  22. 794 rem 98
  23. 128 rem 87
  24. 794 rem 79
  25. 333 rem 14
  26. 343 rem 198
  27. 212 rem 146
  28. 1018 rem 84
  29. 701 rem 52
  30. 95 rem 626
  31. 1000 rem 682
  32. 774 rem 81
  33. 288 rem 59
  34. 799 rem 65
  35. 392 rem 624
  36. 94 rem 78
  37. 951 rem 2
  38. 87 rem 42
  39. 345 rem 30
  40. 470 rem 62

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