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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 974 · 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. 1.273 ÷ 8 =
  2. 2.68435 ÷ 89 =
  3. 3.63424 ÷ 98 =
  4. 4.41418 ÷ 989 =
  5. 5.67713 ÷ 97 =
  6. 6.32926 ÷ 96 =
  7. 7.72231 ÷ 96 =
  8. 8.39074 ÷ 96 =
  9. 9.294358 ÷ 988 =
  10. 10.9037 ÷ 97 =
  11. 11.365529 ÷ 988 =
  12. 12.47146 ÷ 98 =
  13. 13.27325 ÷ 88 =
  14. 14.21681 ÷ 98 =
  15. 15.7577 ÷ 88 =
  16. 16.113300 ÷ 998 =
  17. 17.221072 ÷ 998 =
  18. 18.1439 ÷ 8 =
  19. 19.1431 ÷ 89 =
  20. 20.78877 ÷ 96 =
  21. 21.439413 ÷ 897 =
  22. 22.48860 ÷ 97 =
  23. 23.32246 ÷ 96 =
  24. 24.87347 ÷ 97 =
  25. 25.6958 ÷ 97 =
  26. 26.744809 ÷ 897 =
  27. 27.234497 ÷ 988 =
  28. 28.36838 ÷ 96 =
  29. 29.5798 ÷ 8 =
  30. 30.429548 ÷ 897 =
  31. 31.684189 ÷ 998 =
  32. 32.82598 ÷ 88 =
  33. 33.12543 ÷ 98 =
  34. 34.923417 ÷ 989 =
  35. 35.951901 ÷ 989 =
  36. 36.40760 ÷ 998 =
  37. 37.33377 ÷ 88 =
  38. 38.17468 ÷ 88 =
  39. 39.131622 ÷ 998 =
  40. 40.131578 ÷ 998 =

Answer key

  1. 34 rem 1
  2. 768 rem 83
  3. 647 rem 18
  4. 41 rem 869
  5. 698 rem 7
  6. 342 rem 94
  7. 752 rem 39
  8. 407 rem 2
  9. 297 rem 922
  10. 93 rem 16
  11. 369 rem 957
  12. 481 rem 8
  13. 310 rem 45
  14. 221 rem 23
  15. 86 rem 9
  16. 113 rem 526
  17. 221 rem 514
  18. 179 rem 7
  19. 16 rem 7
  20. 821 rem 61
  21. 489 rem 780
  22. 503 rem 69
  23. 335 rem 86
  24. 900 rem 47
  25. 71 rem 71
  26. 830 rem 299
  27. 237 rem 341
  28. 383 rem 70
  29. 724 rem 6
  30. 478 rem 782
  31. 685 rem 559
  32. 938 rem 54
  33. 127 rem 97
  34. 933 rem 680
  35. 962 rem 483
  36. 40 rem 840
  37. 379 rem 25
  38. 198 rem 44
  39. 131 rem 884
  40. 131 rem 840

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